Intraperitoneal Natural Killer Cells and INCB024360 for Recurrent Ovarian, Fallopian Tube, and Primary Peritoneal Cancer

Inclusion Criteria: * Diagnosis of recurrent epithelial ovarian cancer, fallopian tube, or primary peritoneal cancer that has failed or progressed after at least 1 prior salvage chemotherapy regimen directed at recurrent/metastatic disease. * Measurable disease per disease specific RECIST version 1.1- patients with bone as their only site of disease will not be eligible * If history of brain metastases must be stable for at least 3 months after treatment - A brain CT scan will only be required in subjects with known brain metastases at the time of enrollment or in subjects with clinical signs or symptoms suggestive of brain metastases. * Available related HLA-haploidentical NK cell donor by at least Class I serologic typing at the A\&B locus * Age 18 years or older * GOG Performance Status ≥ 2 - refer to appendix III * Adequate organ function as determined by the following criteria within 14 days of the start of the preparative regimen, unless otherwise noted: * Bone marrow: platelets ≥ 80,000 x 109/L and hemoglobin ≥ 9 g/dL, unsupported by transfusions; absolute neutrophil count (ANC) ≥ 1000 x 109/L, unsupported by G-CSF or granulocytes * Renal function: estimated glomerular filtration rate (GFR) of ≥ 50 ml/min (based on the Fairview Laboratories formula at time of screening) * Liver function: total bilirubin \< 1.5 times upper limit of institutional normal; AST, ALT, and alkaline phosphatase \< 3 times upper limit of institutional normal * Cardiac: Left ventricular ejection fraction \> 40% (within 28 days of treatment start) * Pulmonary function: \> 50% corrected DLCO and FEV1, if presence of pleural effusion due to metastatic disease \> 40% corrected DLCO and FEV1 is acceptable (within 28 days of treatment start) * Able to be off prednisone or other immunosuppressive medications other than that prescribed per protocol for at least 3 days prior to Day 0 * At least 14 days must lapse between last prior anti-cancer treatment and 1st day of preparative regimen * Not pregnant or lactating - The agents used in this study may be teratogenic to a fetus and there is no information on the excretion of agents into breast milk. Participants of childbearing potential must have a blood test or urine study within 14 days prior to registration to rule out pregnancy and agree to use adequate birth control during study treatment. * Able to tolerate intraperitoneal (IP) port placement and IP treatment administration in the opinion of the enrolling investigator * Voluntary written consent Exclusion Criteria: * Active infection - must be afebrile and off antibiotics * Receiving monoamine oxidase inhibitors (MAOI)s or drug which as significant MAOI activity (meperidine, linezolid, methylene blue) within 21 days of 1st dose of fludarabine * Requiring potent CYP3A4 inducers or inhibitors * Have ever had Serotonin Syndrome after receiving one or more serotonergic drugs * Prior therapy with anti-CTLA-4 antibody, anti PD-1, or an experimental immune system-targeted therapy * Use of any UGT1A9 inhibitor including: diclofenac, imipramine, ketoconazole, mefenamic acid, and probenecid from screening through follow-up period. * Undergone an organ transplant(s) including allogeneic stem cell or bone marrow transplants. * Unstable cardiovascular disease (eg, uncontrolled hypertension, peripheral vascular disease, congestive heart failure, cardiac arrhythmia, or acute coronary syndrome) within 6 months of starting study treatment. * Any gastrointestinal condition causing malabsorption or obstruction (eg, celiac sprue, gastric bypass surgery, strictures, adhesions, history of small bowel resection, blind loop syndrome). Unable or unwilling to swallow tablets BID. * Active autoimmune process (eg rheumatoid arthritis, moderate or severe psoriasis, multiple sclerosis, inflammatory bowel disease, etc.) or who have been receiving therapy for an autoimmune or inflammatory disease. Vitiligo, thyroiditis, or eczema is permitted if patient is otherwise eligible * Known HIV-positivity * History of hepatitis or positive serology as follows: * Hepatitis B (HepB) screening testing required: * HepB SAg (hepatitis B surface antigen); * Anti-HepB SAg (antibody against hepatitis B surface antigen); * Anti-Hepatitis B core IgG (antibody against hepatitis B core antigen). * Hepatitis B core IgM antibody * Hepatitis C screening testing required: * HCV-antibody (antibody against hepatitis C virus); * HCV-RNA (serum test for circulating virus, based on detecting RNA)