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).
Dillon Brooks, who led Oregon with 16.7 points per game last season, will opt out of the NBA draft process and return to the Ducks, a source told ESPN.
Mississippi State freshman guard Malik Newman will withdraw from the NBA draft, but sources told ESPN he might explore other opportunities besides returning to Mississippi State.
Seton Hall sophomore Isaiah Whitehead will stay in the NBA draft and not return for his junior season.