Jacko picked up his third double-double of the season with 11 rebounds, while Haney went 3-for-5 from 3-point range. Friday was the second-straight game the Lions (7-4) had two players with 20-point games.
Jacksonville State made only 36 percent of its shots (20-for-55) and made 19 turnovers.
LMU outrebounded the Gamecocks 43-31 and had nine steals.
The Lions broke open a close game midway through the first half, opening a 10-7 lead to 27-15 near halftime.
Drumwright scored eight of his points in the opening minutes of the second half, but Jacksonville State got no closer than 12 points.