The Great Danes, who shot 21-of-52 from the field, overcame a six-point deficit at halftime and outscored Siena 43-25 in the second half.
With the score at 45-44 in the second half, DJ Evans hit a pair of free throws to start a 10-0 run for Albany.
The Saints surged back to tie the game at 55 with seven minutes remaining. Albany responded however with a late 9-0 run to make the score 69-60 with under a minute to play.
Evans finished with 12 points and Rowley added nine rebounds for the Great Danes.