I know what you are saying about the insurance. I went through that path. I found out later there are lots of counselors who accept the insurance but are not on the list. I had to go and ask them.
Anyway, the insurance is sort of a nice-to-have thing at the moment, isn't it? You don't want to be worried about saving money on your "surgeon." If it costs you money to get it done right, even hundreds of dollars per month, surely you will pay? Isn't it worth it?