Most of the pain relieving drugs over the counter are for mild to moderate pain
. In fact they barely touch moderate pain
. If you are having great pain
issues that over the counter medications are not helping with, you need to speak with your doctor. There is help available, but you need to work with your doctor, especially because of your stomach problems.
As Lulu said, since the NSAID'S are anti-inflammatory pain relievers, I do not think they will help with neuropathic pain.