I am in same situation and I cant do what I generally do for medical issues in family: flying to India. If my child is born in India it will lose American Citizenship. I have got a no choice.
search locally for midwives. if the child is healthy they will do home deliveries for a fraction of the cost. of course, that's a secret to, not many people "shop" around yet, unfortunately, but that's probably going to change now.