Support Our Military Caregivers Act This bill permits an individual to elect to have an independent contractor perform an external clinical review of any of the following: a Department of Veterans Affairs (VA) denial of an individual's application to be a caregiver or family caregiver eligible for the VA program of comprehensive assistance for family caregivers of eligible veterans; with respect to an approved application, a VA determination of the level or amount of personal care services that a veteran requires; a request by a caregiver or family caregiver for a reconsideration of the level or amount of personal care services that a veteran requires based on post-application changes; and a revocation of such assistance administered by the VA. The VA shall ensure that each external clinical review is completed and the individual is notified in writing of the results within 120 days of the election. The VA shall issue directives regarding the policies, procedures, and operational requirements for the such program and the VA program of general caregiver support services. The Government Accountability Office shall report to Congress on the VA's processes for determining eligibility for participation in such programs.