S.M.
Hi, Mimi:
I have a son and one on the way--both IVF. I would recommend Pacific Fertility Center in Westwood. We saw Dr. DeUgarte and she's the best b/c she doesn't push you into IVF unless you really need it. (Both of my tubes were blocked when we wanted to try for another child.) With my first son, we went to a clinic in Beverly Hills. They were very good, but I got more special attention with Dr. DeUgarte.
With one tube open, I'm pretty sure that means IUI (artificial insemination) is a viable prospect. My guess why your doctor does not want to try surgery is b/c every time you get opened up, it causes more scar tissue, which could mess you all up again. (That's what happened to me after a c-section.) But of course you should see a professional. Best of luck. S.