Some of the other Indiana members on here will be able to answer better as to what's available around the Indy area.
I think PopGuns has an indoor range (not heard anything about the quality, and not been there myself).
Camp Atterbury has a public range as well, $7.50 an hour with a 2 hour minimum I believe, but that may have changed as it's been a while since I looked it up.
I live about an hour south of Indy, and I typically go to the outdoor range at Crosley Fish & wildlife area a little bit south of Vernon. The best part about Crosley is that it's free, but it is quite remote.