Neoadjuvant-Adjuvant Pembrolizumab in Resectable Advanced Basal Cell Carcinoma of H&N

Inclusion Criteria: * Advanced basal cell carcinoma for the purposes of this study will be defined by features associated with increased risk of recurrence including at least one of the following: * \>=20mm * Meeting indication for post-operative radiation * Perineural invasion in multiple nerves * Female participants: A female participant is eligible to participate if she is not pregnant (see Appendix 3), not breastfeeding, and at least one of the following conditions applies: * Not a woman of childbearing potential (WOCBP) as defined in Appendix 3 OR * A female of child bearing potential who agrees to follow the contraceptive guidance in Appendix 3 during the treatment period and for at least 150 days after the last dose of study treatment. * The participant (or legally acceptable representative if applicable) provides written informed consent for the trial. * Have a histological confirmation of diagnosis of Basal cell carcinoma (BCC) of any subtype (e.g. Nodular, aggressive infiltrative, etc). * Have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 to 1. Evaluation of ECOG is to be performed within 7 days prior to the date of allocation/randomization. Patients with PS 2 will be considered if good rationale provided and discussed with Merck study team. * Have adequate organ function as defined in the following table (Table 1). Specimens must be collected within 10 days prior to the start of study treatment. * Must not be on active immunosuppression, have a history of life threating virus, have had other (beside non-melanoma skin cancers, or recent indolent cancers e.g.: resected low grade prostate cancer) cancer diagnoses in the last two years, or have had immunotherapy of any kind within the last 2 years. Must not have a history of (non-infectious) pneumonitis that required steroids or has current pneumonitis. * Participants who require adjuvant radiation are eligible. Adequate Organ Function Laboratory Values Note: This table includes eligibility-defining laboratory value requirements for treatment; laboratory value requirements should be adapted according to local regulations and guidelines for the administration of specific chemotherapies. System (Hematological) * Absolute neutrophil count (ANC) * \>= 1500/μL * Platelets \>= 100 000/μL * Hemoglobin * \>= 9.0 g/dL or \>= 5.6 mmol/L ---- Criteria must be met without erythropoietin dependency and without packed red blood cell (pRBC) transfusion within last 2 weeks System (Renal) * Creatinine OR Measured or calculatedb creatinine clearance (GFR can also be used in place of creatinine or CrCl) --- \<=1.5 × ULN OR \>= 30 mL/min for participant with creatinine levels \> 1.5 × institutional ULN ---- Creatinine clearance (CrCl) should be calculated per institutional standard. System (Hepatic) * Total bilirubin \--- \<=1.5 ×ULN OR direct bilirubin \<= ULN for participants with total bilirubin levels \>1.5 × ULN * Aspartate aminotransferase (serum glutamic oxaloacetic transaminase) \[AST (SGOT)\] and alanine aminotransferase (serum glutamic pyruvic transaminase) \[ALT (SGPT)\] --- \<= 2.5 × ULN (≤5 × ULN for participants with liver metastases) System (Coagulation) * International normalized ratio (INR) OR prothrombin time (PT) * Activated partial thromboplastin time (aPTT) --- \<= 1.5 × ULN unless participant is receiving anticoagulant therapy as long as PT or aPTT is within therapeutic range of intended use of anticoagulants Exclusion Criteria: * A female of child bearing potential who has a positive urine pregnancy test within 72 hours prior to enrollment (see Appendix 3). If the urine test is positive or cannot be confirmed as negative, a serum pregnancy test will be required. In the event that 72 hours have elapsed between the screening pregnancy test and the first dose of study treatment, another pregnancy test (urine or serum) must be performed and must be negative in order for subject to start receiving study medication. * Has received prior therapy with an anti-PD-1, anti-PD-L1, or anti-PD-L2 agent or with an agent directed to another stimulatory or co-inhibitory T-cell receptor (eg, CTLA-4, OX-40, CD137). * Has received prior systemic anti-cancer therapy including investigational agents within 4 weeks prior to enrollment. Participants must have recovered from all AEs due to previous therapies to ≤Grade 1 or baseline. Participants with ≤Grade 2 neuropathy may be eligible. If participant received major surgery, they must have recovered adequately from the toxicity and/or complications from the intervention prior to starting study treatment. * Has received prior radiotherapy within 2 weeks of start of study treatment. Participants must have recovered from all radiation-related toxicities, not require corticosteroids, and not have had radiation pneumonitis. A 1-week washout is permitted for palliative radiation (≤2 weeks of radiotherapy) to non-CNS disease. * Has received a live vaccine within 30 days prior to the first dose of study drug. Examples of live vaccines include, but are not limited to, the following: measles, mumps, rubella, varicella/zoster (chicken pox), yellow fever, rabies, Bacillus Calmette-Guérin (BCG), and typhoid vaccine. Seasonal influenza vaccines for injection are generally killed virus vaccines and are allowed; however, intranasal influenza vaccines (eg, FluMist®) are live attenuated vaccines and are not allowed. * Is currently participating in or has participated in a study of an investigational agent or has used an investigational device within 4 weeks prior to the first dose of study treatment. Note: Participants who have entered the follow-up phase of an investigational study may participate as long as it has been 4 weeks after the last dose of the previous investigational agent. * Has a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy (in dosing exceeding 10 mg daily of prednisone equivalent) or any other form of immunosuppressive therapy within 7 days prior to the first dose of study drug. * Has a known additional malignancy that is progressing or has required active treatment within the past 2 years. Note: Participants with other types of skin carcinoma or carcinoma in situ (e.g. breast carcinoma, cervical cancer in situ) that have undergone potentially curative therapy are not excluded. * Has known active CNS metastases and/or carcinomatous meningitis. Participants with previously treated brain metastases may participate provided they are radiologically stable, i.e. without evidence of progression for at least 4 weeks by repeat imaging (note that the repeat imaging should be performed during study screening), clinically stable and without requirement of steroid treatment for at least 14 days prior to first dose of study treatment. * Has severe hypersensitivity (≥Grade 3) to pembrolizumab and/or any of its excipients. * Has active autoimmune disease that has required systemic treatment in the past 2 years (i.e. with use of disease modifying agents, corticosteroids or immunosuppressive drugs). Replacement therapy (eg. thyroxine, insulin, or physiologic corticosteroid replacement therapy for adrenal or pituitary insufficiency, etc.) is not considered a form of systemic treatment. * Has a history of (non-infectious) pneumonitis that required steroids or has current pneumonitis. * Has an active infection requiring systemic therapy. * Has a known history of Human Immunodeficiency Virus (HIV). * Has a known history of Hepatitis B (defined as Hepatitis B surface antigen \[HBsAg\] reactive) or known active Hepatitis C virus (defined as: HCV RNA \>800,000 IU/L is detected) infection. Note: no testing for Hepatitis B and Hepatitis C is required unless mandated by local health authority. * Has a known history of active TB (Bacillus Tuberculosis). * Has a history or current evidence of any condition, therapy, or laboratory abnormality that might confound the results of the study, interfere with the subject's participation for the full duration of the study, or is not in the best interest of the subject to participate, in the opinion of the treating investigator. * Has known psychiatric or substance abuse disorders that would interfere with cooperation with the requirements of the trial. * Is pregnant or breastfeeding, or expecting to conceive or father children within the projected duration of the study, starting with the screening visit through 120 days after the last dose of trial treatment. * History of Hedgehog inhibitor treatment for any reason. * History of allogeneic tissue/solid organ transplant whether or not on active immunosuppression.