Little made five 3-pointers and finished 8-of-15 shooting from the field. Vann was 7 of 10 from the floor, matched a career-best with 11 rebounds and added a career-high six assists for Maine (8-13, 4-4 America East Conference).
Thomas Bruce scored 16 points and Timmy Rose chipped in 14 to lead Binghamton (5-16, 2-6).
Rose hit a 3 to give the Bearcats their last lead, 57-54 with 7:43 left. Vann answered with a layup, sparking a 20-6 run by the Black Bears to end it. Vann scored six points, Little added four, and Binghamton shot just 1 of 9 from the field with three turnovers during the stretch.
Binghamton led 36-32 at halftime, and neither team had more than a five-point lead until the Black Bears' late surge.