Insulin and Induction

I'm currently only using diet to manage my GD, but I cannot for the life of me getting my fasting numbers down. I have a feeling that I'm gonna be put on insulin, and I'm very worried for what that'll do to my birth plan. I do not want to be induced at all, I'm 36+3 and not even dilated a little bit. My body is not ready, but I know they are gonna start pushing it if I get on insulin. I guess I'm just looking to see if anyone has been put on insulin and was allowed to go 40/41 weeks. Thank you!