Search the web for private non-insurance based doctors, direct-pay, etc.
People are coming up with ideas.
I saw a Christian group that shares medical expenses in some way and they have a list of participating doctors. I don’t know if they’re ok or not.
I’d research a bit, you may find something.
An example of a "direct care, or cash only, practice":
www.touchstoneinternalmedicine.com/frequently-asked-questions.html