Maia scored nine of his points in the first half as Brown (6-2) took an 11-point lead into halftime. American (3-5) went on a 12-4 run to pull within one, 58-57 with 8:07 remaining. Brown answered with McGonagill's 3-pointer, which capped a 7-1 run, stretching the Bears' lead to 65-58.
A pair of free throws by Charlie Jones pulled American within two points, 69-67 with 2:01 to play, but the Eagles finished 0 of 4 from the floor.
John Schoof had a game-high 15 points for American, leading four in double figures.