Military Spouses Achieving College Education for Survivors Act of 2016 or ACES Act of 2016 This bill amends the Veterans Access, Choice, and Accountability Act of 2014 to deem any member of the Armed Forces who died between September 11, 2001, and December 31, 2005, to have died on January 1, 2006, in order to make that member's surviving spouse eligible for the Marine Gunnery Sergeant John David Fry scholarship. (Surviving spouses of service members who die in the line of duty after September 11, 2001, are eligible for such assistance until the earlier of the date they remarry or the date that is 15 years after the military spouse's death.) A surviving spouse of a member of the Armed Forces who died between September 11, 2001, and December 31, 2005, who elected before enactment of this Act to receive educational benefits under the Survivors and Dependents Educational Assistance program or the Marine Gunnery Sergeant John David Frye program may revoke such choice. (Such an election is currently irrevocable.)