Butler (26-11, 4-4 Big East) knotted the score at three in the eighth inning before breaking the tie with a walk-off base hit in the bottom of the 11th.
The loss is Miami’s third in its last four games.
Redshirt senior first baseman Ross Haffey got the RedHawks going early, when he doubled over the center fielder’s head as the second batter of the game.