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