Butler's campus (and Hinkle) are located in a 1920's era suburb without much mixed use. There's a commercial strip at 56th and Illinois with coffee, a couple nice restaurants and a few shops, but no bars. The bars nearest campus are along College between 49th and Kessler, or in Broad Ripple along 62nd east of College. Binkley's at College/Kessler is a really good all-around option. 20 Tap at 54th & College is awesome if you can get in (it's small and they're usually slammed). Fat Dan's next door is a great too when there's a long wait at 20 Tap (make sure you try the fries). Eat + Drink at 52nd is a bit more foodie, but it's really good and they have a nice beer selection. Check out Sinking Ship at 49th if you're into the hipster thing and want an awesome burger. For something more moderately priced, Delicia at 52nd & College is some of the best food in the entire city.
As for parking, the Hinkle lot itself is reserved for those with parking passes. There is visitor parking available on campus -
http://www.butler.edu/media/836954/park ... ionmap.pdfIf you want to park on campus, your best bet is to get there REALLY early and park in the Clowes/Schrott lot (in yellow, #24). If that's full, you'll have to park on the neighborhood streets, which isn't bad. My wife and I do it for every game and walk 5 minutes out of the neighborhood to Hinkle.