Here's my suggestion: Road trip.
If you're in Cincinnati, you're well within striking distance of many of the biggies: Ohio State, Michigan, Notre Dame, Tennessee, Penn State, Virginia Tech, and West Virginia are but a few of the road trips that might be fun and relatively easy to coordinate. Or think about where you have friends/family and keep an eye on sale fares. A cheap ticket to Atlanta or Charlotte could get you to see Georgia or Clemson. Auburn isn't that far from Atlanta, either. Lots of good ball in Florida. Mississippi is just down the road from Memphis, and the tailgating is supposed to be unreal (with a special emphasis on the "tail" portion of tailgating.
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There are plenty of other experiences that would be outstanding. I'd love to see a Navy home game. Wouldn't mind seeing the Texas A&M 12th man at some point, either. A game at Washington on the sound would be killer. The Florida A&M band would be worth the price of admission alone.
Few things in life are as enjoyable as spending a Saturday afternoon in September or October at a college football game. Rather than worrying about identifying a team to root for on the front end, I say get out there to some games and let the specific allegiance evolve over time.