Drame also made two free throws with 28 seconds to give the Bobcats (2-1) a 72-68 lead. He led Quinnipiac with 18 points and made all eight of his free throws. The Bobcats were 19 of 21 from the line.
Peter Hooley hit a 3-pointer to pull Albany (1-2) to 72-71 with 13 seconds left and made two free throws with 3.1 seconds left to make it 74-73. Hooley led the Great Danes with 17 points. Ray Sanders added 10.
Hearst and Evan Conti added 14 points each for Quinnipiac.
Albany led by as many as 14 points early and 35-26 at the break. Quinnipiac went ahead 45-44 midway through the second, its first lead since the opening minutes.