Please offer your experience! FTM w/ big baby

K

So I'm 5'2, 160lb (have gained 32lb this pregnancy), first time giving birth. We have been monitored weekly since 35 weeks simply because my boy is measuring really big. I do not have GD. Today (38 + 1) he measures 9lb and has a big head (in 99th percentile!). We had already scheduled induction for next week due to his size, but now dr is pushing for c-section because I haven't dilated, cervix is super high and so is baby (he has been head down the whole 3rd trimester though). Dr is convinced baby will not/ cannot drop due to size. In his exact words "there is no way in hell that baby is coming out of your vagina". He did say that I could go through with induction as planned, and try to push. Then of course if things don't progress we go to OR. I understand ultrasound estimates can be off, so I am going to proceed with that plan so I can say that I tried to push. Just wanted to see who else has had the issue of baby being big/ not dropping by 38 weeks/ not dilating. I have been taking primrose oil and doing all the "prep" tricks you read about.