Is there a track anywhere close to Cincinnati?

I'd really like to take my car out and run around a track for a few hours.

 

I have no idea how far you are from Gingerman, but they seem to have a lot of track days. South Haven, MI.

http://www.gingermanraceway.com/

 

There's Mid Ohio and Putnam that are each about 3 hours from you I'd guess. I think NASA is running an event at Nashville speedway next season which might be close to you. VIR might be pretty close as well.

I'm in Columbus so Mid-O is less than an hour for me