Could I be so bold as to suggest perhaps a chiropractor before you start cutting up your neck?
Pinched nerves is sorta their thing. Instead of fixing the problem try fixing the cause!
A good chiro will be able to crack your neck in the right way to relieve that pressure on your nerve just fine. May take a few sessions, but it will be cheaper than a surgeon and a more right/permanent solution.
And, if it doesnt work, then start chopping.