The Bears (5-2) broke a tie early in the second half with a 16-4 run fueled by 3-pointers from Matty Madigan and McGonagill to take a 57-45 lead.
CCSU (1-5) pulled within five after a Kyle Vinales jumper at the 7:16 mark, but went cold for nearly four minutes as Dockery Walker capped off a quick 6-0 run for Brown with a layup and two free throws.
Maia was 5 of 6 on field goal attempts and McGonagill hit four 3-pointers. Leland King and Dockery Walker each contributed 10 points for Brown.
The Blue Devils had a 26-2 disadvantage in bench scoring and were outrebounded 44-31. They were led by Faronte Drakeford with 22 points. Vinales had 13 points and Brandon Peel added nine with 12 boards.
Reggie Witherspoon, who spent more than 13 seasons coaching at Buffalo, is returning to the city to coach Canisius College.
North Carolina Hall of Fame men's basketball coach Roy Williams is recovering from knee-replacement surgery.
Sparkling facilities are one thing, but Tim Miles needs to regain the momentum of Nebraska's 2014 run to the NCAAs if it is to play with the big boys.