AT Doc in training with an interest in Critical Care/Hematology Oncology:
Nerve pain is NOT usually controlled with narcotics, its not indicated and if a prescriber gets into the habit of using it for such without a documented history of exhausting all other options the DEA will be after your license in a hurry. Normally for CRPS/Nerve pain we try nerve modulators first (Gabapentin/Lyrica etc), then progress to antipsychotics (carbamazepine, etc)n or even antidepressants (amitryptaline is a common one) then go from there onto different things depending on what works vs doesnt work but usually one of the above does it.
The etiology of such is also important, is it diabetic? Pinched or compressed nerve due to arthritis or inflammation? Muscle related? Or some other thing (CRPS, etc). The answer to these questions determines treatment.
References for the above:
http://www.ncbi.nlm.nih.gov.lecomlrc.lecom.edu/pubmed?term=16009087
http://www.ncbi.nlm.nih.gov.lecomlrc.lecom.edu/pubmed?term=17134466
Wishing you the best, but head and neck cancers are a different animal, and diagnosis of them is often incredibly difficult. I'd love to order at head/neck CT on everyone that came in with a sore throat and difficulty swallowing but seriously that is almost about 95% of what comes into the ED/GP office everyday. It does appear that the proper channels were followed though in your case.
In your case, you dont have the number 1 cause of ENT cancer (smoking) (what is your history of alcohol intake?) so I dont think many providers would have thought that to be the cause from the get go. The other etiologies usually arise from HPV/Squamous of unknown primary or simple squamous cell, or something of glandular origin. You will know more once they complete their TNM staging/PET scan/Biopsy pathology. Results though for the treatment of stage 1 and 2 disease usually are quite good with a 5 year survival rate of 70-90%