The win is just the second ever for SU over its rivals down south.
The game featured nine ties and seven lead changes - the two teams were never separated by one goal and Schott's game-winning goal represented just the second time the lead did not change hands following a game-tying goal.
The game-winner was Schott's second unassisted tally of the game. He finished with two goals and one assist for three points.
Weaver's second goal, with 4:15 to play in regulation, gave SU a 9-8 lead. Bridgewater then sent it to overtime with a Blake Mann goal with 3:27 remaining.
BC outshot the Hornets 39-34 and was 14-of-22 at the faceoff 'x' while SU had a 29-27 advantage in groundballs. The Hornets also forced 11 turnovers.