Price hit three consecutive 3-pointers to lift the Highlanders (12-7, 3-3 Big South) into a 76-73 lead with 4:10 remaining. Javonte Green scored the next five points including a runner off the glass with 32 seconds left to make it 81-76 and secure Radford's third straight win.
Radford closed the first half on a 16-5 run for a one-point lead. Keon Johnson had 12 points in a 17-2 run to put Winthrop on top 57-49 with 14 minutes left, but Johnson wouldn't score again. A 12-0 Radford run tied it at 64-all with 7:52 left.
Both teams shot over 50 percent. Winthrop was 8 of 20 from the arc; Radford topped that, going 11 of 18.
Johnson led Winthrop (8-9, 3-3) with 21 points.