Welcome to the board.
Sorry can't comment about Ohio laws, but one thing does stand out. Generally speaking you do not want to carry your gun on your hip while riding. If you have a look at various MC wrecks, you'll see that anything around your waist will cause tremendous damage to your hip bones while sliding/tumbling down the road. Same reason 'small of back' carry is so dangerous...potential damage to the spine.
You're better off putting it in a tank bag, sidebag, jacket pocket etc. Note the racer's position when hitting the track. Believe me, I've wanted to OC on my bike so many times but keep reminding myself the consequences.