WriterMama, I think you're planning to go to a BirthCentre and they will surely have procedures in place given an emergency situation, including for cord prolapse. I think 36 weeks is too early to decide on an elective c/s when most babies assume a better position very late in the pregnancy. I agree its very unsettling to wait until labour starts, and I've been there with you as my baba was in a tranverse lie, and I think he's still unstable actually, he just happened to be vertex at my last appt. I don't think being worried will change it though, instead I'm hoping adopting a positive attitude will convince both of us he's in the right place.
The Spinning Baby exercises seemed very helpful, and I really got stuck into them for a couple of weeks, including inversions 3 times a day for 20 mins. I still practice pelvic tilts and spend my 'leisure time' in the evening on hands and knees or on a yoga ball. I don't allow myself to recline in a seat at all and try to make my tummy a hammock that baby will be most comfortable in. I even sleep a bit on my tummy/side allowing my belly to hang forward. I really feel it if I spend a lot of time in the car as that cause me to slouch.
As Melany suggests, an ultrasound may show up a physical reason baby isn't turning, is your birthcentre providing that option before they consider and ECV or C/section?