Can't speak for the Greensburg area, but the folks on this site got me to try Bazbeaux's Pizza and now we go every time we go to Indianapolis.
There's one at Butler (a couple miles north of downtown), one in Carmel (which is probably close to where you're staying) and one downtown. I haven't been to the Carmel location, but knowing that area a little I think you'd enjoy it.
It's not upscale and I've seen plenty of families in the Broad Ripple location (including a family with seven kids between about 4 and 14), and that's right near a campus.
Mind you it's not Chucky Cheese, but it's certainly a place where 10 year olds would be welcome. Plus everyone loves pizza.
Garlic bread is the best I've ever had. http://www.bazbeaux.com/
post edited by Bonk - 2013/07/21 03:52:40