Lawrence also had eight rebounds and seven assists for the Cougars (21-9, 13-4), who rebounded from a 55-52 loss to Gardner-Webb on Saturday. Charleston has won nine of its past 11 games.
Karl Cochran scored 23 points for the Terriers (12-18, 6-11), who had won two straight. Wofford is 4-5 in its past nine games after a 79-50 loss to the Cougars on Jan. 26.
The Cougars led 24-22 at halftime despite shooting 10 of 26 from the field, including 1 of 11 from beyond the arc. Charleston opened the second half with a 10-2 run -- Lawrence scored five -- and never trailed from there.
Charleston outrebounded Wofford 44-27 for a 32-12 scoring advantage in the paint.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.
Clemson's Jaron Blossomgame says he is withdrawing from the NBA draft and returning to school for a final season.