The Bruins (16-7, 7-1 Ohio Valley) shot 52 percent from the field. Reece Chamberlain had 14 points and seven assists.
Mann hit a late 3-pointer in the first half to give Belmont a 50-30 halftime advantage. A Chamberlain layup put the Bruins up 64-42 at the midway mark in the second half.
The Colonels stormed back within five after two free throws and a layup by Walden, but Chamberlain responded with a pair from the line and Bradshaw made a layup with 32 seconds left.
After a late free throw by Mann, Cosey hit a 3-pointer for the final margin.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.
Clemson's Jaron Blossomgame says he is withdrawing from the NBA draft and returning to school for a final season.
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