Hittle scored 27 points on 3-pointers and broke a school record for most 3-pointers made without a miss. Sam Burmeister added 16 points for the Cardinals (8-1) and Anthony Horton and Justin Philippe each scored 10.
Incarnate Word jumped out to an early 11-2 lead and didn't look back as it ended the first half with a 45-27 advantage.
The War Hawks (4-3) made just five of their first 24 shots, and finished the matchup shooting 27.6 percent (21 of 76). Alex Lewis came off the bench to score 12 points, and Brandon Golden grabbed a game-high 11 rebounds.
The Cardinals have now stretched their winning streak to five games.