Resettlement Accountability National Security Prioritization Act of 2017 This bill prohibits the admission of covered aliens into the United States for four years unless Congress passes a joint resolution giving the Department of Homeland Security authority to admit them. No covered alien may be admitted into the United States after such four-year period. "Covered alien" means an alien applying for refugee admission to the United States who: (1) is a national of Afghanistan, Iraq, Libya, Somalia, Syria, or Yemen; or (2) has no nationality and whose last habitual residence was in Afghanistan, Iraq, Libya, Somalia, Syria, or Yemen. The Government Accountability Office shall report on: (1) the national security impact of refugee admissions; and (2) specified costs of providing refugees with benefits under Medicare, Medicaid, disability insurance under title II of the Social Security Act, the supplemental nutrition assistance program (SNAP, formerly the food stamp program), and section 8 rental assistance.