Drake (12-9, 3-6 Missouri Valley) raced to a 13-4 lead, fueled by a pair of 3-pointers by Chris Caird. Missouri State (14-7, 4-5) came back to go up 30-29 with 3:13 in the first, but Drake countered to lead 38-35 at the break.
Missouri State went up five on Gavin Thurman's jumper with 7:21 left in the game. Drake coach Ray Giacoletti immediately called time, and his Bulldogs scored 15 of the next 17 points to wrest control of the game.
Drake shot 52 percent from the floor, including 14 of 24 from beyond the arc. Daniels had five 3-pointers, and Caird added 18 points, hitting 6 of 8 3-point attempts.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.