Veterans TRICARE Choice Act - Allows an individual who is eligible to participate in the TRICARE program (a Department of Defense [DOD] managed health care program) to: (1) elect to be ineligible to enroll in such program, (2) make tax deductible contributions to a health savings account during the period such individual elects to be ineligible for TRICARE coverage, and (3) enroll in the TRICARE program at a later date during a special enrollment period.