Both my babies were predicted to be large - over 10lbs. No GD with either.
The first, my waters went at 36 weeks. I had the contractions induced and she was born 4 hours later at 6 lbs 13 oz.
The second was predicted to be bigger. I was actually placed into a clinical trial for those with large predicted birth weights, as there is currently no clinical evidence to suggest whether an early induction is better for reducing birth complications. I was placed into the "natural" group, but convinced my consultant to induce at 39 weeks. Again, I delivered in 4 hours at 10 lbs 2 oz.
No drugs with either other than gas or air. The labours were pretty identical, although my first labour was probably more difficult as she was back to back and I had to stay on my back, whereas with my second I was up and moving around. I pushed for a bit longer with my first, as I didn't think it was too bad. I wanted the second over and done with as it stung a bit more, so there were a couple less pushes. Overall though, both were manageable.
I had some slight grazing after the first, and a tear after the second.
I was like you and did not want a section. No one pushed me for this though and I was told size was not a reason for a section. Not sure if the GD impacts this though. I went in with an open mind, and knew that if it came to it I'd do what I had to for my baby and have the section if it was needed. I wanted to try a VB though and no one was pushing me for anything else.
I'd say both births were fine. Just try to be open minded and see why they might be pushing a section in your case.