Josh Southern chipped in with 13 points and nine rebounds for the Eagles (12-2), who open Atlantic Coast Conference play at No. 1 North Carolina on Sunday.
A major snowstorm kept the crowd small, with no more than 700 fans showing up for the game.
BC led just 47-44 early in the second half before it started pounding the ball inside and took control of the game. BC scored nine of its next 20 points from the free throw line to take a 67-56 lead it wouldn't lose.
The loss was Sacred Heart's fourth in its last five games.
The dust has settled after players made their NBA draft decisions. Which college teams won? Which lost? Well, Villanova is pretty happy. USC, meanwhile, might not be as thrilled.
The 2017 recruiting class is short on point guards, with Trevon Duval leading only eight prospects from the ESPN 60 who are still available.
ESPN college basketball reporter Andy Katz looks into the two decommitments from the NBA draft and what they're looking forward to.