What area of West TN are you in? I am in the Medina / Jackson area. I am not aware of any processors here as I process my own. I just try to set aside a day to do them all at the same time. I currently have 30 cornish X, 22 turkeys, and quail........ and cats, and dogs, and fish, and guinea pigs, and assorted egg layers, and kids, and... and.... and.... LOL
We built a chicken plucker, this saves a TREMENDOUS amount of time when processing.
If you are in the Jackson area, call R&J Feed on South Highland..... ask them if they know of anybody who processes chickens in the area.... They might know of someone. Good luck; if you find someone let me know who they are and what their prices are. I usually do my own, but if the price is right I might consider letting someone else do it.
Jeff