@swimjohn There are not a lot of long trails in SW Ohio. One of the parks that's good for dayhiking, however, is John Bryan State Park in Yelllow Springs. 

http://parks.ohiodnr.gov/johnbryan

If you were into bikepacking, however, that region of Ohio boasts nearly 400 miles of paved off-road bike trails, connecting Dayton, Columbus, and Cincinnati with hundreds of points in between.