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.
Jeff Goodman logs all the coaching changes following the 2015-16 college basketball season.
Can Josh Pastner keep top talent in Georgia? Will Tubby Smith change his recruiting philosophy at Memphis? New coaches face some difficult questions.
Former Michigan point guard Spike Albrecht will play for Purdue as a graduate transfer next season.