Bowman, the sophomore guard, led the Panthers despite 5-of-15 shooting from the floor. Malcolm Bernard and Justin Ravenal added 13 points apiece for Florida A&M.
The Panthers (5-10, 1-1 Mid-Eastern Athletic Conference) bounced back from double-digit losses to Florida International and North Florida, and a two-point defeat to Jacksonville to snap a three-game skid.
Troyce Manassa scored 21 points on 7-of-11 shooting to lead the Tigers (4-8, 0-1), who have lost four in a row and eight of their last nine. Teslim Idris chipped in 10 points.