Jim Stone shot the 11-point whitetail buck in Miller County.
Harvick was the favorite to win and started from the pole but an early flat tire made Sunday's race more eventful than Harvick expected.
Missouri State shot 48 percent while Stetson.
Mahomes threw both TD passes to Tyreek Hill, the second giving the Chiefs' first-year starter 31 for the season.
Ty Storey completed 19 of 38 passes for 200 yards and two touchdowns for Arkansas.