That is legally correct - you do not need any kind of license to do this in Ohio. That said, expect the police to take an interest in what you are up to. They may ask "what's with the gun?" and go on their way, or they may take the "hell no, not in my town, up against the wall" approach. It's a crapshoot what kind of cop you'll run into. You can beat it at trial if you're charged, but it's still abig hassle if they go that route.
Welcome to the forum.