Wallace was 8 of 13 from the floor, including 5 of 9 from long range, and grabbed 11 rebounds. Brown finished on 8-of-15 shooting with eight boards. Wallace scored 16 points and Brown added 10 in the first half as High Point built a 40-32 halftime lead.
High Point (11-4, 2-1 Big South) outrebounded Charleston Southern 38-25 and never trailed.
Aaron Wheeler converted a three-point play to pull Charleston Southern within 61-54. The Panthers answered with a 10-0 run to make it 71-54 with less than 3 minutes left.