My insurance’s tactic to this sort of demand is to just completely ignore my requests/demands. They log an acknowledgement of my action, and then never do anything with it, ever.
That’s when you hope your state has a bureau of insurance or something similar that you can complain and appeal to, and then hope that the person assigned to your case isn’t prejudiced against the procedures in question, such as reproductive care or trans-related care, or isn’t prejudiced against you for being pretty much any minority.
What a mindfield to navigate when we’re at our most vulnerable.