From my days at tOSU the only real close hotel was the Holiday Inn right across the street. I hear that is being changed to dorms as the U bought the property. Not sure if that has already happened or not. It has been twelve yrs since my last trip there. It was a great location and right next so some great parties.
If still there, no way you get a room at this point. Anything downtown is a short drive/cab ride to the university. Otherwise use internet search and use map function. I would stay away from the hotels near the fairgrounds, unless they have been remodeled. They were real @#$% holes. I will be going back for the game too and will most likely be downtown.
Have a great trip, Columbus is a great city. Go hawks.