Check National Forests - here in Florida most of our larger ones have shooting ranges that are maintained to some degree and open to the public at no cost.
A quick google maps search for "national forest rifle range near ohio" shows me 4 in ohio alone.
https://www.google.com/maps/search/national+forest+rifle+range+near+ohio/@39.6084176,-84.6716234,7z
And more than you can shake a stick at in Pennsylvania -
https://www.google.com/maps/search/national+forest+rifle+range+near+pennsylvania/@40.3819251,-80.6507556,7z
Depending on what kind of shooting you like to do you may want to find a large event and time it to coincide with that (Camp Perry, Knob Creek MG shoot, a run-n-gun competition, etc)