The "free market" is just a terrible solution to providing health care. There are some cases where it can work, but as a general solution it doesn't. Roads are the same way. Does a private, market solution (toll roads) work sometimes? Sure. Could we build our entire network of roads using tolls. Of course not.

In a way this is a bit of a cop out because no one can/will up end the entire system.One thought experiment I like to run is what happens to prices if we use to government to subsidize supply of services? Provide free schooling and other government benefits for people willing to train to become medical workers. Take the rural dentist crisis. IMO the government should be training people who live in those communities to become dentists for free.

We have limited examples in places like Cuba. I'm not saying that full on socialism is a magic bullet, but I think smartly applied it works better for markets like healthcare.