I'm not sure who argued that "the right to not get surprise billed or screwed by your insurance company" is the optimum solution. The argument is that guaranteeing access to healthcare itself is attainable without price controls.
> SNAP and ag subsidies are also just price controls with extra steps
They're really not. The closest analog would be to institute a basic income that's earmarked for health insurance premiums. We don't have that today, at least in a uniform way (ACA subsidies come close).