Neurologists generally do not prescribe pain medication, they may start you on something like Lyrica or an anti-depressant, but prefer that a PCP or pain management doctor handle it from there. In my experience they are uncomfortable with admitting that PN can cause severe pain. There really are, unfortunately, few alternatives to opiates for the type of pain you are describing.
Have you researched Butrans Patches? They are an opiate inhibitor and work for some PN'ers.