A free market would look something like this:
1) everybody buys their own insurance in a genuinely free marketplace (this is ENTIRELY not the case now and would probably require significant gov intervention to defeat cartel-seeking behavior from insurance co's. There are good reasons insurance is so highly regulated, only the first of which is that insurance companies are highly incentivized to not pay out since they already have your money, and you can't go elsewhere with your claim.)
2) if you can't pay, you die in the gutter.