No option to choose hospital for delivery

My gynae is tied to only Mount Avernia Hospital. Its a good hospital but does not allows ligation due to religion. This is my 3rd csec and I really wanted to do ligation at the same time. It will not make sense for me to return 2 months later after delivery to do the surgery. Anyone facing similar situation? I heard gynaes can appeal for exception case. I have thought of changing gynae for delivery if he still refuses...