Native American Housing Assistance and Self-Determination Reauthorization Act of 2017 This bill provides federal housing assistance to Indians, including Alaska Natives, and Native Hawaiians, including by: amending the Native American Housing Assistance and Self-Determination Act of 1996 (NAHASDA) to reauthorize through FY2022 and revise the Indian Housing Block Grant and the Native Hawaiian Housing Block Grant; amending the United States Housing Act of 1937 to authorize the Department of Housing and Urban Development (HUD) to implement a supportive housing and rental assistance program for the benefit of Native American, including Alaska Natives, veterans who are homeless, or at risk of homelessness, and who are eligible to receive block grants under NAHASDA; amending the Housing and Community Development Act of 1992 to authorize HUD through FY2022 to guarantee housing loans for Native Americans and Native Hawaiians; extending from 50 years to 99 years the limit on the lease of Native American trust or restricted lands for housing purposes; and establishing a demonstration program that requires a participating Native American tribe, with an investor partner, to develop and implement a HUD-approved plan to address the tribe's housing needs.