* INCLUSION CRITERIA:
* Age \>= 18 years old.
* Histologically confirmed diagnosis of RRP.
* Individuals must require procedure(s) to remove papillomatous disease per standard of care.(not required for re-treatment)
* A history of 2 or more surgeries within 12 months prior to treatment initiation in order to control laryngeal and/or tracheal RRP (not required for re-treatment).
* At least one of the following (not required for re-treatment):
* A Derkay score of 8 or greater
* Measurable disease per RECIST 1.1 (participants with pulmonary RRP only)
* Tracheal involvement with RRP that has required two or more clinical interventions in the last 12 months (two or more clinical interventions)
* Tracheostomy.
* ECOG performance status of 0-1.
* Individuals must have adequate organ and marrow function as defined below:
* White blood cells (WBC): \>2,000/microL
* Absolute neutrophil count (ANC): \>=1,500/microL
* Hemoglobin: \>9.0 g/dL
* Platelets: \>=100,000/microL
* Total bilirubin: \<=1.5 mg/dL, except in participants with Gilbert s Syndrome who must have a total bilirubin less than 3.0 mg/dL
* Aspartate aminotransferase (AST) /Alanine aminotransferase (ALT): \<=2.5 X institutional upper limit of normal (ULN)
* Creatinine: within normal institutional limits
OR
Creatinine Clearance (CrCl): \>=60 mL/min/1.73 m\^2 for participants with creatinine levels above institutional normal (calculated using the Cockcroft-Gault formula).
* Prothrombin time (PT) /International normalized ratio (INR) and Partial thromboplastin time (PTT): \<=1 X institutional ULN. In participants on anticoagulation, coagulation tests should be within a therapeutic range.
* Urinalysis: Urine dipstick \< 2+ proteinuria. In participants with \>=2+ proteinuria on dipstick urinalysis should undergo a 24-hour urine collection and must demonstrate \<=1g of protein in 24 hours to be eligible
* Individuals must have received their last systemic therapy for RRP \> 4 weeks or 5 half-lives, whichever is longer, prior to treatment initiation, except for systemic bevacizumab which must be \> 1 year prior to treatment initiation (not applicable for re-treatment)
* Individuals able to become pregnant and their partners must agree to use highly effective method of contraception (hormonal, intrauterine device (IUD), surgical sterilization ) for the duration of bevacizumab treatment and up to 6 months after completion of bevacizumab treatment. NOTE: Abstinence, defined as no heterosexual sexual intercourse when this is in line with the preferred and usual lifestyle of the individual is also acceptable.
* Breastfeeding individuals must be willing to discontinue breastfeeding from study treatment initiation through 6 months after bevacizumab treatment discontinuation.
* All individuals must have the ability to understand and willingness to sign a written informed consent.
* All individuals must be willing to undergo mandatory biopsy during the study (not applicable for re-treatment).
EXCLUSION CRITERIA:
* History of significant (i.e., active) cardiovascular disease or thromboembolic event: cerebral vascular accident/stroke (within 6 months prior to treatment initiation), myocardial infarction (within 6 months prior to treatment initiation), unstable angina, congestive heart failure (\>= New York Heart Association Classification Class II), or serious cardiac arrhythmia requiring medication as assessed by EKG.
* History of abdominal fistula or gastrointestinal perforation within 6 months prior to treatment initiation.
* Major surgery within 4 weeks prior to treatment initiation.
* Non-healing wound, active ulcer, or untreated bone fracture.
* History of hemoptysis (\>2.5 mL of bright red blood per episode) within 1 month prior to treatment initiation.
* Evidence of bleeding diathesis or significant coagulopathy (with or without current therapeutic anticoagulation).
* Significant vascular disease (e.g., aortic aneurysm requiring surgical repair or recent peripheral arterial thrombosis) within 6 months prior to treatment initiation.
* Inadequately controlled hypertension (defined as systolic blood pressure (BP) \>150 mmHg and/or diastolic blood pressure \> 100 mmHg), an average of 3 BP readings on 2 sessions will be used to measure blood pressure if initial reading indicates inadequately controlled hypertension. NOTE: Anti-hypertensive therapy to achieve blood pressures below these parameters is allowed.
* Prior history of hypertensive crisis or hypertensive encephalopathy.
* Persisting toxicity related to prior therapy of Grade \>1 per Common Terminology Criteria for Adverse Events (CTCAE) v 5.0. NOTE: alopecia, sensory neuropathy Grade \<=2 are acceptable.
* Known active alcohol or drug abuse.
* History of allergy to study drug components.
* Pregnancy (confirmed with Beta-Human chorionic gonadotropin (Beta-HCG) serum or urine pregnancy test in WOCBP performed at screening).
* Uncontrolled intercurrent illness or situation that would limit compliance with study requirements.
