I had a breast reduction 5 years ago and it was one of the best decisions I've ever made. Growing up, I always had large breasts and was always self-conscious about them. I was a 36DD, but I'm only 5'2" and was a size 4 (at the time of surgery). I never really had back problems, but I did suffer from the indents on my shoulders from bra straps b/c of my heavy breasts. They were also very saggy and I was only 25, so I really wanted a smaller, perkier chest. My insurance covered the entire surgery (I had Humana at the time). Instead of calling the insurance company yourself to see if it's covered, you should maybe get a consultation first and let your surgeon plead your case with the insurance company. That's what I did and I was approved in less than 2 weeks. I don't know what my surgeon told my insurance (I'm pretty sure he used the back problem excuse), but the important thing is that they covered it. I am completed satisfied with the results. My surgeon was great. The scars don't look bad at all. I went to a 34 small C. Also, I had the surgery before I had my kids and I was still able to breastfeed both of them. The surgeon's office even sent a limo to pick me up for the surgery!
Even after 2 kids, my breasts are still much smaller than they once were, and I can still go bra-less if I choose to.
Please remember, though, that it is surgery, so the process is not fun. The total recovery took about 2 weeks. The first week, I was pretty much confined to my bed and by the 2nd week I was up and around. So, I would recommend that you have a relative or your husband available to care for your children, b/c that first week, you'll be pretty helpless.
Hope this helps. Let me know if you'd like the name of my surgeon. I went to his downtown office, but he has a few offices in the Chicagoland area.