I think it's insane that these games are blacked out across the state. However, if you're a little tech savvy there are a few ways to watch these games, and any other events subject to blackout due to location.
You can use a proxy server to mask your IP address. There are some free ones out there, but I don't know how reliable they are.
The option I use is virtual private network (VPN). They do a lot of different things to encrypt and protect your data, but the most important for this is they also allow you to mask your IP address by connect to the internet through one of their servers across the world. This does slow down your internet connection, but I've never had a buffering issue or anything with it. I pay for 50MBps internet, and my speeds slow down to around 25-30MBps when I'm connected to the VPN. I subscribe to
Private Internet Access. It's $39.95 for a year or $6.95 for a month. It took me about five minutes to set up, and I use it all the time to watch blacked out ESPN3 and MLB.TV games. It was also great during the Olympics to watch the CBC streams from Canada because they were much better than the NBC ones here.
The final option is to use a location spoof on your phone or tablet. There are some free ones available for both OSs. I think there are ones for Android you can download right from the Google Play store and they'll work (I think Fake GPS Location is a good one). For iPhones/iPads you'll need to have a jailbroken device and download an app from Cydia. Once you have an location spoofing app, you just set it up to show you're outside Ohio or in another country altogether. Then you'll be able to watch all the blacked out games. You can also use an Apple TV or Chromecast to stream from your phone/tablet to your TV.