Memorial Sloan Kettering (generalli considered to be the best Cancer hospital in NYC) has a referral service that you can contact to get an appointment with the expert: 646-497-9161

I also heard this dr. is good:
http://www.nyee.edu/ent_faculty_schantz.html

There are a few doctors specializing in head and neck cancer at NY Presbyterian.

http://app1.nyp.org/fad/searchDoctor.htm

Search for Head and Neck Cancers