If you can't get something done at OSU dental school, there should be a county hospital there in Columbus that will do them at low or no cost. Get some x-rays and have them removed.
Mansfield is large enough there should also be something there that would be similar. (It's been 33 years since I was in that part of Ohio)
If you are taking over the counter meds, it's better to do something with Tylenol. Ibuprophen or aspirin at this point will just make you bleed more when you have them removed.
Do warm salt water rinses as this will help the area that is sore. You could also add a bit of peroxide to the mix to help keep it clean.
Be certain to brush the rest of them... many times folks will be in so much pain, they will neglect the rest of their teeth.
I wish I'd seen this sooner, but I went up the mountain earlier tonight and was very tired.