The Cougars (21-7), who have won six straight, used a 25-0 first-half run to help snap Vermont's 10-game winning streak.
College of Charleston led 14-11 when it scored the next 25 points for a 39-11 advantage, holding the Catamounts (22-6), who have clinched the America East Conference regular-season title, scoreless for 6:08.
Hall scored 11 points, including seven in a row, during the outburst.
The Cougars had 21 assists, only eight turnovers and outscored Vermont 24-9 off turnovers. They also shot 54.8 percent from the floor (34 of 62).