I hate to sound like a broken record, but here goes: check out the charts on lizajane.org, and insist on getting the tests for sensory neuropathy.

The symptoms you have are not typical of alcoholic neuropathy, which, like most toxic neuropathies, usuallly starts with the feet and doesn't involve the hands until quite severe. You seem to be describing something that evolved quickly and included area of your body much more central than that. If you could describe the history of your symptoms more clearly, like a time-line, that would clearer. But if my impression of what you are saying is correct, it sounds like it could be a different process, and that you deserve a full blood workup for other causes.

Also, there's no reason for alcholic neuropathy to begin after you're sober, if that's what happened.

Can you collect all your test results from your doctor and organize them for yourself?