It certainly does seem like you might have a small fiber neuropathy; you certainly have a number of the conditions that can lead to that syndrome.

Given where you live, your best bets are probably both North and South--Johns Hopkins in Baltimore or Cornell-Weill in NYC, both of which are among the leaders in neuropathy research (and can do very advanced testing, such as QSART and skin biopsy).

I would try to get your local doctor (if you have a good enough relationship with him/her) to intercede with you and explain your situation to either (or both) of these institutions; each of them does take a certain number of pro bono patients (and you might be an interesting enough case for that to happen).