I would def ask for a second opinion hun. I was told at 35 weeks that my daughter was close to 8lbs. My doc said that if I went until my due date she would be well over 10lbs, and she scared the crap out of me!! So I thought it over for a week and begged for an induction once I was 37wk. She said no, they wont do anything until at least 39 weeks since your due date can be off, and if they were to do it at 37 weeks, you could end up being early. I was as you ladies over the pond say, "gutted"! All I could think about was delivering a HUGE baby. Then at my 38wk appointment, she did an internal and said I wasn't dilated at all. She knew that I was completely against a c-section, but convinced me that my baby was going to be well over 10lbs, and that there was no possible way I could deliver her. She said even with an induction at 39wks I couldnt deliver her naturally. She told me all of these risks to my daughter (shoulder dystocia, bone fractures, severe tears for me. And she basically convinced me that I HAD to have a c-section. So I scheduled one for 39+2. My daughter weighed 8lb10oz when she was born, so she was kinda big, but STILL 2LBS LESS than the doc said she would be! I was so depressed that I didn't trust my body to do what it was made to do, I know in my heart that I could have delivered my daughter.
I know its hard to think about right now, and I know my situation is different that yours, but I would def just get a second opinion. It seems like doctors are so quick to push c-sections, my hospital has a 50% C-SECTION RATE! That is outrageous to me! Every other person I know who went to my OB had a c-section. Maybe you can find someone who might induce you closer to full term? I just would def get another opinion. I regret my c-section so much, and hope and pray that the next time I get pregnant, I can have a successful VBAC.
Good luck, and sorry for writing a book!