I'm in West Carrollton.
Check out www.cincyoffroad.com
as there are a lot of guys from Dayton on there too(myself included).
Haspin is less than an hour away(haven't been there myself yet)
Big Rock is about 2hrs away(3 in my Jeep... lol)
Bill's 491 is a very cool place too, I've been there only in the winter time with snow on the ground, was a lot of fun.
All the good places are in Kentucky and Indiana... Ohio is awesome due to the slack vehicle laws and proximity to some good stuff.
I'm thinking I'll be going to the Badlands in Attica, IN some time in the next couple months, probably late October for a weekend. Send me a PM if you want in on the trip whenever we set a date... I'm bad about remembering to check the regional forums.