Good luck with your visit/auditions.
Wichita State is in a residential neighboorhood, so there really isn't a close hotel. I think the closest one is a Holiday Inn Express (on E. 32nd St. N) and there is also a Marriot Courtyard that is on that street too. This are right off the highway and should make it easy to get to the university and back (plus, they ae located in a retail area so there are plenty places to shop, eat, etc.)
Let me know if you need to know anything else.