I don't know about Ohio, but many states allow you to do that at the weigh stations. They leave the electronics on 24/7 so if they aren't open you can still use the platforms. Then many state officials allow you to weigh your rig if they are open but not busy. It's a SAFETY issue and they shouldn't object in any event. In Florida, you can go to a police station and get 4-corner weighings (if they have the equipment), or they'll send someone to you. Need to call to set up an appointment.
Here's phone numbers for Ohio, give them a call and ask:
Ohio weight stations...In Oregon, they are left on, and OFTEN but not always, depending on the design of the platform, I can do a four corner weighing by driving two on, than one off, front and rear. And subtracting.