I can understand your point in terms of negative liberty but I tend to hold positive liberty to be just as important. It is not sufficient to me that there is no law preventing me from having healthcare, I expect that the government should ensure I have the ability to have a healthy life.

The 10th amendment isn't clear. Too many areas are dual responsibility. That's never going to be clear.

So if there is nobody willing to be a doctor for the pay rate the govt is offering, what happens? Does your "right" to healthcare extend to literal slavery?

I'm being a bit hyperbolic only to make the point... I don't think anyone's "rights" should include forced labor of anyone else. So certain things, even food cannot be a right... I would think that public lands and a right to hunt/gather or even some level cooperative gardening/farming might be okay as a middle ground though.

What happens when no one is willing to be a public defender at the going rate?

What happens when no one is willing to be a police officer to enforce your negative liberty at the going rate?