Walt Lemon Jr. led the Braves (16-13) with 22 points. He drove the lane and passed to Eastman for the winning shot.
Gary Talton’s basket with 37 seconds to play had given the Flames (15-13) a 62-61 lead.
Dyricus Simms-Edwards added 17 points and Tyshon Pickett scored 10 for Bradley of the Missouri Valley. Pickett and Shayok Shayok grabbed six rebounds to lead the Braves in that category.
Daniel Barnes scored 18 and grabbed five boards to lead UIC of the Horizon League. Marc Brown scored 13.
The game was part of the BracketBusters series.