Based on the information you had injury
on the back and neck and still having chronic pain
and want to see chiropractor as you want to avoid the surgery.
Its not a bad idea, surgery must be kept as a last resort/option, if chiropractor can help control the pain its the best thing. If not helpful their is always an option of having surgery to fix it.
I would give it an try as it may help.
Thanks, hope it helps.