Division II St. Leo (2-2) kept it close the majority of the game, trailing 46-41 after a Dominick Robinson 3-pointer. But McInerney scored eight points in three minutes to give Stetson (3-1) a 55-47 lead with 9:22 left to play.
Robinson came up big again, knocking down a layup and the subsequent foul shot to tie the game 67-67. McInerney then converted a 3-point play of his own, tipping in a Chris Perez miss and nailing his free throw to extend the Hatters' lead to 70-67 with 49 seconds remaining in the game.
A Trent Thomas layup narrowed the lead to one, 70-69, with 31 seconds to play, but Aaron Graham hit four straight free throws to put the game out of reach.