I'd say you should find out what your insurance covers & try to make use of that. If it covers treatment by a Registered Massage Therapist (and my insurer does cover that, but requires a doctor's referral) then that would be my recommendation. Failing that, I'd see a physio. In the meantime, maybe buy a heat pack and use it when you can.

Chiropractic is a rather sketchy alternative therapy & neck manipulations are particularly risky, so I wouldn't advise going near that unless you're aware of the risks & have a very responsible (which means cautious) chiropractor.