--if you decide to go gluten-free. A dietary change does not require the permission of any medical professional, or anybody else, though there might be a significant learning curve--gluten is used as a binder/emulsifier in so many processed foods that it's probably best to avoid processed foods in general, and stick to simle meats, frutis, vegetables, nuts, etc. (anything you don't have any other reaction/sensitivities to).

The usual celiac/gluten sensitivity "mainstream" tests are the anti-gliadin IgA and IgA tests and the anti-transglutaminase IgA test (along with a total IgA assay to ensure there's enough IgA in your body to make the other tests somewhat accurate--a certain proportion of people have congenitally low IgA so these test are not very accurate for them). The transglutaminase test is most associated with the villous atrophy caused by farnk celiac, though many with gluten sensitivity, and neurologic symptoms of it, have presented with isolated anti-gliadin titres. Somwhat outside the mainstream are the kind of tests done by Enterolab in which stool samples are tests for fat malabsorption and anti-gliadin/anti-transglutaminase (the theory being that these would show up in stool well before they would in serum).

I believe these tests are not particularly expensive, though much depends on the lab. Looking through the Gluten File in the useful websites section of this board should help you find out.

There is decent evidence now that people who are gluten sensitive can get neuropathy from it; but you will have to see if your neuropathy slows/arrests if you go gluten-free. Some have reported a stabilization, but fewer have reported reversal.