I'm another Cleveland resident. There used to be a processor on Old Parksville Rd. that would do both deer and pigs, but he went out of business several years ago. I have not found another anywhere close to Cleveland. I have heard rumors that there might be one up in the Athens area - or was it Madisonville?
I had always processed my own game since I was a teenager, but when I got old I didn't want to do that anymore. However, now I have no choice. I hang a pig or a deer under my carport. If the weather is cold enough I'll let it hang for a day or two. Otherwise, I process it quickly. Usually either my son-in-law or my grandson will be there helping me.
I haven't taken a pig in over 10 years, but I did get a nice 6 pt. buck this past season. My grandson dragged it out of the woods for me. ():~)