UNLV had lost three out of four to fall out of first place in the Mountain West Conference.
Stanback scored 19 points, helping the Rebels build as much as a 21-point advantage in the second half. Brice Massamba added 14 for UNLV (23-6, 7-5 MWC), which is a game behind New Mexico in the conference race.
Anthony Drmic and Thomas Bropleh led Boise State (13-13, 3-9) with nine points each.
Notable deaths of 2014 [PHOTOS]