Veterans' Access to Local Health Care Options and Resources Act - Allows a veteran enrolled in the Department of Veterans Affairs annual patient enrollment system to elect to receive covered health services through a non-Department facility. (Currently, the Secretary of Veterans Affairs may contract for such services when Department facilities are not capable of furnishing economic hospital care or medical services because of geographical inaccessibility or are not capable of furnishing the care or services required.) Directs the Secretary to authorize such services pursuant to a contract with such facility.