Nimley made 9 of 18 field goals, including 6 of 11 from 3-point range, and 15 of 16 free throws. Cedrick Bowen added 12 points and Will Saunders scored 11, knocking down 3 of 4 3-pointers, for Charleston Southern (14-9, 8-4).
Nimley scored eight and Saunders made back-to-back 3's during a 16-2 run by the Buccaneers that made it 48-40 with 13:29 remaining.
Radford scored nine of the next 11 to take a one-point lead midway through the half, but a dunk by Bowen and a jumper by Arlon Harper gave Charleston Southern the lead for good with 8:26 left.
Two free throws by Cameron Jones pulled Radford within 60-59 with five minutes to go, but the Bucs made 15 of 17 free throws from there to hold off Radford.