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).
Florida State's student government has passed a resolution discouraging Seminoles fans from wearing Native American headdresses at games.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.