Free Market Healthcare

Hey all, got into a discussion with someone recently over government funded health care. I’m personally libertarian to the core, but they brought up an interesting point. The U.S. has the freest health care industry in comparison to modern developed countries. While I recognize that this is due in part to overburdensome regulation, what is the libertarian solution to this?

Another interesting point they brought up was that due to the incredible cost to build a hospital, it’s not really a free market in many ways. And, when you are incapacitated and need medical care, you don’t actually get to choose a provider. (Ie, you can choose your doctor for your well visit, but when you’re bleeding out you really don’t get a choice) Thoughts?

TL:DR, if we have the freest healthcare (ie not government run) in America vs other countries, why is it so damn expensive in comparison? Thoughts on a solution?

Sources: https://www.investopedia.com/articles/personal-finance/072116/us-healthcare-costs-compared-other-countries.asp