This is similar to my situation. With my first, my platelets stayed around 55,000 throughout my pregnancy (having gone into the pregnancy with about 90,000). Basically, I was told that my choice for hypnobirthing naturally was fine since no anesthesiologist would ever touch me with an epidural. That was fine, until my platelets dropped to 28,000 and I ended up with an emergency c-section under general anesthesia while getting a platelet infusion and blood transfusion. I ended up hemorrhaging later anyway and didn't meet my baby until she was 5 hours old. However, I INSISTED that my husband be allowed in (once I was under) as I told them I would not allow my child to be without one of her parents--and since I was "out", he was allowed in and videotaped her first cry for me. (Backus Hospital, Norwich CT)
Second time around, it was likely I would have low platelets again. Therefore, they were checked montly and my new dr. said that he would make sure it would not become an emergency again. If they dropped low and I was 36 weeks, he was just going to repeat c/s and give me a spinal so I could be awake. You can get a spinal with platelets as low as 85,000. It went as planned, I was awake and my platelets never got lower than 110K (high for me).
My opinion--find the right doctor! You CAN have a more pleasant experience.