Another vote for NPPL. (Wouldn't rule out a PPL though if you might pass the 2m conversation test)
Requirements are same as DVLA driving standards. If you meet the professional driver standard ("able to communicate in the event of an emergency by speech or by using a device e.g. a MINICOM"), you can carry passengers. Not difficult - plenty of profoundly deaf lorry drivers! Failing that, the private car standard ("no need to inform DVLA") will allow you to go solo. The main issue is that you should carry a spare aid (just as you would spare glasses) just in case.
I have a severe loss with an aid on one side and no useful hearing on the other. Currently a NPPL(SSEA) student with 14 hours and signed off by GP for Group 2 (Professional driving). We're not alone either.
Shenington Gliding Club has a deaf gliding instructor who lipreads and signs BSL with a mirror. A Swede circumnavigated the world in a DA42 in 2006. The first man to complete a transcontinental flight across the US in 1911 had a hearing loss and there is a (mainly US) Deaf Pilots Association representing hundreds of deaf pilots around the world today.
Deaf Pilots Association
http://www.iaopa.eu/mediaServlet/sto...c08/p34_35.pdf
Good Luck!