We belong to Corvette Indy. (It's like $50 a year, or $75 I think for you plus spouse). If you go to their Vets and Vettes car show they will give you the first year for free (August 18th).
They do a ton of trips, outings and shows on top of other things, been a very good group. One of the largest Corvette clubs in the US is my understanding.
http://www.corvetteindy.com/ go there and look at the photo gallery. We haven't done much with them this year as we've been really busy on the weekends, but they are a great group.
We live in Irvington on the East Side of Indy. Not terribly far from Fishers. Would be more than willing to drive up to see you on a nice day, could grab lunch or something.
Welcome to the brotherhood!