It's a personal preference that i've had Neurosurgeons. I prefer them because they have a bit more experience in the neurological side of things.
Just remember that surgery does NOT necessarily relieve PAIN. Surgery is ONLY for mechanical problems. It is not intended for pain relief. So you could end up with the same pain or worse. If you do get pain relief, you'll be getting a bonus. So just don't go into surgery EXPECTING pain relief cause you might not get it.
I wish you the very best. Please let us know how you come out, ok? God bless & take care. Hugs, Lee