Bevacizumab and Temsirolimus Alone or in Combination With Valproic Acid or Cetuximab in Treating Patients With Advanced or Metastatic Malignancy or Other Benign Disease

Inclusion Criteria: * Patients with advanced or metastatic cancer that is refractory to standard therapy, relapsed after standard therapy, or have no standard therapy that induces a complete response of at least 10% or improves survival by at least three months; in addition, patients with disease that are "benign" by pathology, but relentlessly progressive, leading to disability, pain, and premature death in the majority of cases (including, but not limited to lymphangioleiomyomatosis \[LAM\], type 2 neurofibromatosis \[NF\], Erdheim Chester disease, and Castleman's disease) may also be considered for enrollment * Patients should be at least four weeks from the last day of therapeutic radiation or cytotoxic chemotherapy or from antibody therapy, or at least five half-lives from non-cytotoxic targeted or biologic therapy; patients may have received palliative radiation immediately before (or during) treatment provided radiation is not to the only target lesion available * Eastern Cooperative Oncology Group (ECOG) performance status =\< 2 * Karnofsky \>= 60% * Lansky performance status of \>= 60% for participants 16 years old or younger * Absolute neutrophil count \>= 1,000/mL * Platelets \>= 50,000/mL * Creatinine =\< 3 X upper limit of normal (ULN) * Total bilirubin =\< 3.0 * Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase \[SGOT\])/alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) =\< 5 X ULN * Fasting level of total cholesterol of no more than 350 mg/dL * Triglyceride level of no more than 400 mg/dL * Women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry, for the duration of study participation, and for 90 days after the last dose * Ability to understand and the willingness to sign a written informed consent document * Patients may not be receiving any other investigational agents and/or any other concurrent anticancer agents or therapies Exclusion Criteria: * Patients with clinically significant unexplained bleeding within 28 days prior to entering the study * Uncontrolled systemic vascular hypertension (systolic blood pressure \> 140 mmHg, diastolic blood pressure \> 90 mmHg on medication) * Patients with clinically significant cardiovascular disease: History of CVA (cerebrovascular accident) within 6 months, myocardial infarction or unstable angina within 6 months, unstable angina pectoris * Pregnant or breast-feeding women * History of hypersensitivity to bevacizumab, murine products, or any component of the formulation * History of hypersensitivity to temsirolimus or its metabolites (including sirolimus), polysorbate 80, or to any component of the formulation * History of hypersensitivity to cetuximab, murine products, or any component of the formulation * Patients that are taking cytochrome P450 family 3, subfamily A, polypeptide 4 (CYP3A4) inducers and/or inhibitors; if a patient has a history of taking CYP3A4 inducers and/or inhibitors prior to enrollment on the protocol, it is strongly recommended that the patient stops the drug and waits at least 5 half-lives of said drug before initiating therapy on protocol * Colorectal cancer patients with known v-Ki-ras2 Kirsten rat sarcoma viral oncogene homolog (KRAS) mutation (for the arm combining bevacizumab, temsirolimus and cetuximab) * Patients who have had major surgery within 6 weeks of enrollment in the study