Darden hit four 3-pointers while Jervon Pressley scored 15 points on 5-of-7 shooting for Hampton (1-2).
Lawrence Cooks hit a 3-pointer with 8:10 to play, capping a 9-0 run by Hampton and extending its lead to 64-43, its biggest of the game.
Alcorn State (0-3) responded with a 20-7 run, capped by a 3-pointer from Leantwan Luckett with 3:36 left to make it 71-63.
Hampton made 9 of 10 free throws from there to seal it. The Pirates were 23 of 26 from the stripe for the game.
Hampton out-rebounded the Braves 40-30 and turned 15 offensive rebounds into 18 second-chance points.