Don’t want induction. Help!

This is my third baby. My first I was very uneducated about induction, medications and such. I was induced at 40 weeks and it was honestly the worst and scariest experience, as my baby came out not breathing and I was so out of it was asleep in seconds after she was born.

After that experience with my first, I decided to go natural and have no pain medications. The experience was amazing. But I carried her for 41 weeks 6 days and the doctor wasn’t pleased. Both obstetricians in my area want to induce at 39 weeks and no later than 40.

Im 37 and 5 days and I’m not dilated. Baby is posterior which I’ve read is linked with delayed labor. I want to go naturally again so bad. But doctor says he will give me until 40 weeks or I will have to be induced. What do I do? What can I do?