One way to see if it was a Nerve issue would be to get an NCV, (Nerve Conduction Velocity), test, where two measuring sensors are applied to the area, and an Elecrical impulse in the nerve is triggered, then the other sensor measures the rate of the impluse.
That would possibly see if there is a nerve problem for sure.
Although it sounds like it might be anyway.
Most NSAIDS don't really attenuate pain, they mask it, and if it's a Nervous pain, it might be harder to mask it with NSAIDS as opposed to say pain from a Muscle, or connective tissue.
You'd probably need something more stronger than NSAIDS, like a prescription product, or something else that would be more powerful, and target the issue better.
You can RICE the area, but if you cannot shift the problem, then a Doctor might be the best option, if you haven't already.