Pain returning after failed tooth extraction

I have a very large cavity on one of my upper molars that caused severe pain for several weeks and went up through my sinuses. I live below the poverty level and have no insurance, but I headed to the ER because it was radiating out farther. I was put on penicillin and referred to our local, county health department where the only adult dental care offered is extraction. They have no anesthesia but did have Novocaine. He did an x-ray and said the roots were very deep but I know I don't have the option for a filling or root canal so I said that was fine. The Novocaine deadened every area of my mouth except the one nerve right in my tooth. I told him several times I was feeling pain, not pressure. After an hour of him attempting to extract the tooth, I had to have him stop because my whole body was shaking and I was sobbing no matter how much I tried to stop. I asked what now and there were no suggestions but he did inform me the tooth was still very firmly in my mouth and would not fall out on its own. For several days afterward, I had quite a bit of pain at the site of the injections (he injected in multiple locations 3 separate times)and the pain I had gone in with, though the radiating pain had stopped after completion of the penicillin. This was a month ago. I brush regularly and only use one side of my mouth to eat with because contact between the upper and lower teeth is very painful on the right side. This week, I have had some more aching but I figured I was just grinding my teeth again (yes, I have apnea and a bi-pap) but yesterday, the pain in the gum surrounding the tooth and roof of my mouth in the area where the dentist had done the injections returned as if he had been yanking on my tooth again. He did damage the tooth quite a bit during the attempted extraction with the ...pliers (not sure of the correct term) because I don't think he thought the tooth would be remaining. I am at a loss what to do now because I am already eating soft foods and the pain is bad enough, it woke me from sleep. I am taking an OTC NSAID, rinsing with salt water, and avoiding sugary or acidic foods. What else can I do?