If going to the dentist hurts, just imagine how bad dentures might be! I would be talking to my primary care physician. Dentists don't normally have to deal with shingles, and some don't know much about medication.
Extraction of teeth is not going to solve your problem.Post herpetic neuralgia can be managed by topical application of capsaicin, tricyclic antidepressants, such asdesipramin, amitryptylin, or gabapentin. Please review the textbook titled: Burket's oral medicine, page282,11th edition, bc decker.You'll find detailed information to effectively manage phn.