Propranolol Hydrochloride and Chemotherapy in Treating Patients With Ovarian, Primary Peritoneal, or Fallopian Tube Cancer

Inclusion Criteria: * Suspected preoperative diagnosis of invasive epithelial ovarian cancer, primary peritoneal carcinoma, fallopian tube cancer based on imaging and cancer antigen (Ca) 125; histologic epithelial cell types are eligible: serous adenocarcinoma, endometrioid adenocarcinoma, mucinous adenocarcinoma, undifferentiated carcinoma, clear cell carcinoma, mixed epithelial carcinoma, or adenocarcinoma not otherwise specified; patients with primarily carcinoma histology but mixed features can be included; the surgically confirmed histologic features must be compatible with primary Mullerian epithelial adenocarcinoma * Stages II-IV of the above cancer * Patients to be scheduled for a planned tumor debulking * Intention for chemotherapy administration at MD Anderson Cancer Center * Zubrod performance status 0-2 * Absolute neutrophil count (ANC) \>= 1500/ml * Platelets \> 100,000/mL * Creatinine clearance (CrCl) \> 50 mL/min * Bilirubin =\< 1.5 x institutional upper limit normal * Serum glutamic oxaloacetic transaminase (SGOT) =\< 2.5 x institutional upper limit normal * Alkaline phosphatase =\< 2.5 x institutional upper limit normal * Neuropathy (sensory and motor) =\< grade 1 according to Common Toxicity Criteria for Adverse Events version 3 (CTCAE) * Prothrombin time (PT) such that international normalized ratio (INR) is =\< 1.5 (or an in-range INR, usually between 2 and 3, if a patient is on a stable dose of therapeutic warfarin for the management of venous thrombosis including pulmonary embolus) * Partial thromboplastin time (PTT) \< 1.2 times institutional upper limit of normal * Pulse \>= 60 beat per minute (bpm) * Systolic blood pressure (SBP) \> 110 mmHg; diastolic blood pressure (DBP) \>= 60 mmHg * Normotensive individuals not already on beta blockers (may be on other anti hypertensives): SBP =\< 140, DBP =\< 90 * Surgery or neoadjuvant chemotherapy must be scheduled at least 72 hours in advance in order for the patient to take at least 48 hours of prescribed propranolol and have stable vital signs confirmed * An approved informed consent and authorization permitting release of personal health information must be signed by patient or guardian * Patients of childbearing age must have a negative pregnancy test * Patients who receive neoadjuvant chemotherapy for their ovarian, primary peritoneal, or fallopian tube cancer Exclusion Criteria: * Patients with non-epithelial ovarian tumors that do not require adjuvant chemotherapy, borderline epithelial ovarian tumor, or recurrent invasive epithelial ovarian, low grade ovarian cancer, primary peritoneal, or fallopian tube cancer treated with surgery only (such as patients with stage IA or IB); patients with a prior diagnosis of a borderline tumor that was surgically resected and who subsequently develop an unrelated new invasive epithelial ovarian, primary peritoneal, or fallopian tube cancer are eligible, provided that they have not received chemotherapy for any tumor; no stromal cancers or germ cell cancers or low malignant potential; patients found post operatively to have ineligible histology will be removed from the study * Patients who have received prior radiotherapy to any portion of the abdominal cavity or pelvis are excluded; prior radiation therapy for localized cancer of the breast, head and neck, or skin is permitted provided that it was completed more than 3 years prior to registration, and the patient remains free of recurrent or metastatic disease * Patients with a synchronous primary endometrial cancer, or a past history of primary endometrial cancer are excluded unless all of the following conditions are met: stage not greater than stage IA; no more than superficial myometrial invasion, without vascular or lymphatic invasion; no poorly differentiated subtypes, including papillary serous, clear cell, or other International Federation of Gynecology and Obstetrics (FIGO) grade 3 lesions * Patients who have received targeted therapy (including but not limited to vaccines, antibodies, tyrosine kinase inhibitors) or hormonal therapy for management of their primary peritoneal, ovarian, or fallopian tube cancer * With the exception of non-melanoma skin cancer and other specific malignancies as noted above, patients with other invasive malignancies who had (or have) any evidence of the other cancer present within the last five years or whose previous cancer treatment contraindicates this protocol therapy are excluded * Metastases to the ovaries from other organs except fallopian tube or primary peritoneal carcinoma * Use of systemic glucocorticoids such as prednisone or Decadron in the last month * Inability to accurately answer questions (e.g. dementia, brain metastases) or speak English or Spanish * Cirrhosis of the liver * Patients with a Zubrod performance status 3 or 4 * Comorbid conditions: Addison's disease, autoimmune hepatitis, hepatitis B, hepatitis C, acquired immunodeficiency syndrome (AIDS) or human immunodeficiency virus (HIV), lupus erythematosus, mixed connective tissue disease, rheumatoid arthritis * Any patients already on beta-blockers or contraindicated to receive beta-blockers * Hypersensitivity to propranolol, or beta-blockers * Uncompensated congestive heart failure * Cardiogenic shock * Severe sinus bradycardia; heart block, second or third degree or sick sinus syndrome (if no artificial pacemaker present) * Severe hyperactive airway disease (chronic obstructive pulmonary disease, asthma) * Any patients planning to receive Avastin or any other anti-angiogenic drugs * Patients with brittle diabetes mellitus (DM); brittle diabetes mellitus is a type of diabetes when a person's blood glucose (sugar) level often swings quickly from high to low and from low to high; also called "unstable diabetes" or "labile diabetes"