“We don’t believe in that”

Working for a catholic hospital is something else to say the least. Gone to two different providers, both were 100% on board with going through with the procedure (one being a tier 2 which I hadn’t met deductible for and it would be an exorbitant amount), the other a tier one which it should have been fully covered. The insurance decided, as the title states, that they “do not believe in sterilization” and as such, I would be self pay - totaling to at least $1000 for the Dr (that’s with a 25% discount or something), and $400 for the assistant. There two more bills but they were unable to provide me with that information. Is there anyway to get around this or should I just wait until next year? Spending possibly $3k isn’t something viable at the moment. (The main insurance company is BCBS.)