VanVleet added seven rebounds and five assists for the Shockers (23-0, 10-0 MVC), who fell behind by 15 points early in the game but went on a 25-4 run to end the first half and grab control.
Cleanthony Early netted 13 points and Tekele Cotton added 12.
Evansville (10-13, 3-7) was done in by seven turnovers after grabbing a 29-14 lead.
D.J. Balentine led the Purple Aces with 26 points, but connected on just 5-of-14 shots after the first-half flurry.