I have been through it. And I definitely have advice, because my situation did NOT turn out favorably. I went to 42 weeks and one day and could no longer stay in the care of my midwives. I had been having prodromal labor for weeks, and was at 4cm, so opted to have my water broken to induce. I began labor right away, but to make a long story short, baby was asynclictic, I pushed for 3 hours, then had a repeat cesarean. I really think that this was due to the induction.
Here's some things I wish I would have done differently.
1. Reevaluated my due date. I did not know my dates for absolutely sure, and I now know that my dates must have been off. DD did not look like an "overdue" baby (whatever that means) and she was only 7.5 lbs. A full pound and a half smaller than my first, who was born on his due date. I wish I would have talked with my midwives about shifting the date.
2. Not agreed to induction, or perhaps put them off for a couple days... said I felt sick, or whatever, and stalled. I think I could have done that and still stayed in their care.
3. Gotten a better doula. I got a free one who didn't have a lot of experience. Do you have a good one? SO important for a hospital birth!! My labor was long, extremely painful, and exhausting. I didn't have any pain medication, but really needed a lot more support and advice.
4. If I had to be transferred out of their care, I should have just said, "OK, so be it!!"
I hope this advice helps you. I really wanted my vbac and I'm sure you do too. GL!! You can do it. Your baby will be born when he/she's ready, and it's best not to mess with their arrival!