Genetically Modified T-Cells Followed by Aldesleukin in Treating Patients With Stage III-IV Melanoma

Inclusion Criteria:

* Patients must have metastatic melanoma or stage III in-transit, subcutaneous, or regional nodal disease (Turnstile I)
* Patients must have a lesion amenable to resection or the collection of up to 5 needle core samples for the generation of TIL. (Turnstile I)
* Patients must receive a magnetic resonance imaging (MRI)/computed tomography (CT)/positron emission tomography (PET) of the brain within 6 months of signing informed consent; if new lesions are present, patient must have definitive treatment; principal investigator (PI) or his designee should make final determination regarding enrollment (Turnstile I)
* Clinical performance status of Eastern Cooperative Oncology Group (ECOG) 0-2 within 30 days of signing informed consent (Turnstile I)
* Patients previously treated with immunotherapy, targeted therapy, or no therapy (treatment naive) will be eligible (Turnstile I)
* Patients receiving cytotoxic agents will be evaluated by the PI or his designee for eligibility suitability (Turnstile I)
* Patients with a negative pregnancy test (urine or serum) must be documented within 14 days of screening for women of childbearing potential (WOCBP); a WOCBP has not undergone a hysterectomy or who has not been naturally postmenopausal for at least 12 consecutive months (i.e. who has not had menses at any time in the preceding 12 consecutive months) (Turnstile I)
* Patients must have adequate TIL available (Turnstile II); pre-rapid expansion procedure (Pre-REP) TIL generated in the similar clinical trial 2004-0069 may also be utilized for Turnstile II
* Patients must have at least one biopsiable measurable metastatic melanoma, lesion \> or = to 1 cm (Turnstile II)
* Patients may have brain lesions =\< 1 cm each; the PI or designee will approve the treatment (Turnstile II)
* Patients of both genders must practice birth control for four months after receiving the preparative regimen (lymphodepletion) and continue to practice birth control throughout the study; patients must have a documented negative pregnancy test (urine or serum) for women who have menstruation in the past 12 months and without sterilization surgery (Turnstile II)
* Unless surgically sterile by bilateral tubal ligation or vasectomy of partner(s), the patient agrees to continue to use a barrier method of contraception throughout the study such as: condom, diaphragm, hormonal, intrauterine device (IUD), or sponge plus spermicide; abstinence is an acceptable form of birth control (Turnstile II)
* Patients with negative pregnancy test (urine or serum) must be documented within 14 days of screening for WOCBP; a WOCBP has not undergone a hysterectomy or who has not been naturally postmenopausal for at least 12 consecutive months (i.e. who has not menses at any time in the preceding 12 consecutive months) (Turnstile II)
* Clinical performance status of ECOG 0-2 within 30 days of signing informed consent (Turnstile II)
* Absolute neutrophil count greater than or equal to 1000/mm\^3 (Turnstile II)
* Platelet count greater than or equal to 100,000/mm\^3 (Turnstile II)
* Hemoglobin greater than or equal to 8.0 g/dl (Turnstile II)
* Serum alanine aminotransferase (ALT) less than three times the upper limit of normal (Turnstile II)
* Serum creatinine less than or equal to 1.6 mg/dl (Turnstile II)
* Total bilirubin less than or equal to 2.0 mg/dl, except in patients with Gilbert's syndrome who must have a total bilirubin less than 3.0 mg/dl (Turnstile II)
* A stress cardiac test (stress thallium, stress multi gated acquisition scan \[MUGA\], dobutamine echocardiogram or other stress test that will rule out cardiac ischemia) within 6 months of lymphodepletion (Turnstile II)
* Pulmonary function tests (forced expiratory volume in one second \[FEV1\] \> 65% or forced vital capacity \[FVC\] \> 65% of predicted) within 6 months of lymphodepletion (Turnstile II)
* MRI/CT/PET of the brain within 30 days of lymphodepletion (Turnstile II)

Exclusion Criteria:

* Active systemic infections requiring intravenous antibiotics, coagulation disorders or other major medical illnesses of the cardiovascular, respiratory or immune system; PI or his designee shall make the final determination regarding appropriateness of enrollment (Turnstile I)
* Primary immunodeficiency and need for chronic steroid therapy, however prednisone is allowed at \< 10 mg/day (Turnstile I)
* Patients who are pregnant or nursing (Turnstile I)
* Presence of a significant psychiatric disease, which in the opinion of the principal investigator or his designee, would prevent adequate informed consent (Turnstile I)
* Has had prior systemic cancer therapy within the past four weeks or v-raf murine sarcoma viral oncogene homolog B (B-RAF) or mitogen-activated protein kinase (MEK) inhibitors within 7 days at the time of the start of the lymphodepletion regimen (Turnstile II)
* Women who are pregnant will be excluded because of the potentially dangerous effects of the preparative chemotherapy on the fetus (Turnstile II)
* Any active systemic infections requiring intravenous antibiotics, coagulation disorders or other major medical illnesses of the cardiovascular, respiratory or immune system, such as abnormal stress thallium or comparable test, myocardial infarction, cardiac arrhythmias, obstructive or restrictive pulmonary disease; PI or his designee shall make the final determination regarding appropriateness of enrollment (Turnstile II)
* Any form of primary or secondary immunodeficiency; must have recovered immune competence after chemotherapy or radiation therapy as evidenced by lymphocyte counts (\> 500/mm\^3), white blood cell (WBC) (\> 3,000/mm\^3) or absence of opportunistic infections (Turnstile II)
* Require steroid therapy or steroid-containing compounds, or have used systemic steroids in the past 4 weeks, or have used topical or inhalational steroids in the past 2 weeks prior to lymphodepletion; the exception being patients on chronic physiologic dose of steroid (Turnstile II)
* Presence of a significant psychiatric disease, which in the opinion of the principal investigator or his designee, would prevent adequate informed consent or render immunotherapy unsafe or contraindicated (Turnstile II)
* Patients who are solid organ transplant recipients
* Patients with prior bone marrow or stem cell transplantation