Need to get this baby out!

I'm 37+3 weeks, and they'll induce at 39 if baby's not here on her own. At 35 weeks, they clocked her at 7-8 lbs, and my belly is measuring 44 weeks already as of yesterday due to gestational diabetes. Her belly is in the 97%, while her head was only in the 70%, so the doctor is scared her shoulders will get stuck upon delivery and has offered an elected c section, which I've refused for now, but may revisit if she doesn't come in the next few days.

My midwife agrees that the sooner the better and has had me trying to naturally induce since 36 with various methods, so please no comments about how it's safer to wait. I really wish I could!

I'm terrified of needing a c section due to her size and I really want to avoid a medical induction so i've been trying everything to speed things up and I'm looking for anything that worked previously for you mamas! I've had a membrane sweep, tried acupuncture, been rubbing the acupressure points, been taking evening primrose oil orally and vaginally, been having daily sex, walking, bouncing on a yoga ball, drinking RRL tea, using my breastpump for nipple stimulation and eating pineapple and spicy foods.

I've been getting tons of minor contractions, but they don't intensify or fall into a regular pattern. The midwife says my cervix is very soft and I'm dialated to a 2, as of last Thursday, and I've been losing pieces of my plug all week, so I feel like we're close and just need to be pushed over the edge. Does anyone have any advice?