Peripheral neuropathy is a condition resulting from the deterioration of the peripheral (most distant from the center) nerves. Your symptoms mostly sound like they are related to the more central nerves.
The skin test is usually done on the top of the foot, which are the most distant nerves of all, and is the part usually (not always) affected first. I'm not sure if skin tests of more central areas are even done. You are not describing any symptoms of the feet or hands, where PN usually manifests.
The best thing would be to start fresh with a new neurologist that you like, and let him/her proceed with the workup in the usual order, without too much of you managing the workup with suggestions, etc. Skin testing is usually one of the last tests done.