My fiancé doesn't have fibro, but getting him acupuncture has saved my hands from pain after massaging his back! He loves it. (He still gets massages, they're just easier on my hands).
I'm seeing their chiropractor instead because they think it may be better for me. I think it has the potential to help a lot, though. I'd give it a few sessions and see how you feel. The first can be rough as a lot of points open up, but after that it should help.