Southern Illinois (8-13, 1-9 Missouri Valley) overcame a 10-point second-half deficit and tied the game at 54-54 when Josh Swan hit 1 of 2 free throws with 1:33 remaining. But Carter followed with a 3 with 1:05 left and Drake (10-11, 4-6) hit 4 of 6 free throws the rest of the way to close the game on a 7-2 run.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.