I'm sure Ohio is like any other state. If you're talking about a small village or suburb, they don't take kindly to strangers and have police who believe themselves beyond reproach. If you're talking about a major city, you'll have freedom-hating laws on the books (not anymore in Ohio ), but a police force that is too busy fighting REAL crime to bother with a law abiding citizen.
I WAS a test case in Oregon, Ohio, suburb of Toledo. I had the police called on me for open carrying after that. Needless to say, the way the police acted that time was MUCH different. They didn't even come knock on my door. I've open carried in Oregon since and open carry in any number of establishments in Toledo every day.
That's my experience. From what I hear, Cleveland has a mayor who thinks he's a NYC mayor who thinks he's the president of the eastern seaboard. Nevertheless, his antics have been successfully countered every step of the way and Cleveland police have been on record since stating that they understand they cannot arrest somebody simply for openly carrying. The only other hotspot I have heard of is Columbus. Not heard of as in stories of police abuse of the law-abieing citizen. But rather a generally socialist political climate.
Ultimately, it's your choice. But for the love of tree, get past the fear of the words "test case." There's no such thing. It's a liberal myth designed to bleed the resolution out of law-abiding citizens that aren't too keen with having their rights stolen from them. Of course I am by no means making light of your concern. Open carrying in your own backyard can be a challenging decision. Doing it in another state... I hear you. If it were me, I'd do it. Hell, I HAVE done it. Statewide pre-emption was a clause of HB 347 that Jim Aslanides championed primarily because of the cases of the law-abiding being mistreated. The word is getting out there.
I hope you do carry openly in Ohio. When word of my arrest got out, a lot of people woke up to the fact that if we don't, we could lose that right. I'd like to think we've been making a lot of progress since.