Badou Diagne split a pair of free throws to give the Chanticleers a 65-64 lead with 1:23 remaining. Steve Rogers and Bobby Brown both missed 3-point attempts for Alabama State in the final minute. The Hornets' Torloft Thomas made a free throw to tie it at 65-all with 11 seconds to play before Shaw's game-winner.
Steve Rogers scored 14 points to lead Alabama State (4-6).
Wiggins converted a 3-point play and Coastal Carolina led 55-47 midway through the second half. The Hornets answered with a 10-2 spurt to take a 58-57 lead with eight minutes to go. Neither team had more than a four-point lead the rest of the way.