Bisping grabbed 13 of his 15 rebounds off the defensive boards. Lavon Long scored 19 points with five assists and four rebounds for the Saints (7-4). Nico Clareth added 14 points, Javion Ogunyemi had 13 points, five rebounds and four blocks and Marquis Wright had 12 points.
The Saints averaged 52.6 percent shooting from the field and had 13 blocks, holding Albany to just 37.1 percent shooting.
Siena led 34-32 at halftime and opened it up to 64-57 on a 10-2 run capped by an Ogunyemi dunk - his first of four in the final minutes - with 3:56 to play in the second half. The Saints never trailed after that.
Peter Hooley led the Great Danes (7-4) with 20 points. Evan Singletary added 15 points.