D.K.
Before you look into changing your body so drastically, maybe talk to a chiropractor. I got serious relief from headaches & back troubles from a standard chiropractor & accupuncturist. Then got really super results from an NUCCA chiropractor, you can search NUCCA online and see if there's one near you.
I had looked into a reduction, too, and learned they take your nipple off to do it, then put it back on as a decoration, you can't use it to lactate and it may not have any feeling to it afterward. It would be a last resort to me, but then things may have changed since then, a lot has!
But seriously, consider a good chiropractor, insurance companies cover it more and more, and it's a much less invasive way to cure your problem.
Good luck to you!
D.