Smithpeters called a timeout after the shot, but SWIC answered with eight straight points to claim the 11th and final lead change of the game.
Jaalam Hill, who nailed a halfcourt shot at the buzzer in overtime to lift SWIC over Olney in the quarterfinals, hit a 3-pointer to give the Storm that final lead change at 60-57 with 4:10 remaining.
SWIC made 12 of its 14 free throws in the final three minutes and finished 19 of 26 for the game.
Vernon standout, scored 12 points before the break and helped SWIC surge to a 46-41 halftime lead.
SWIC led 58-51 in the second half after a dunk by Jaalam Hill, then Logan tied it at 58 with a five points from Hawthorne and a tip-in by Eaves.
Perkins led four SWIC players in double figures with 20 points.
(22-5, 12-3) did its part to stay tied for first by routing Southeastern Illinois College, 124-66, in Harrisburg on Wednesday night.
(13-2, 6-1) was led by Javonte Perkins with 22 points.