Ahh, last refuge of the libertarian. How about using Inductive reasoning and then apply your philosophy to that? How about a good old application of "theory of constraints" to your philosophy. Your problem and possibly your only saving grace is that you CAN"T apply DEDUCTIVE reasoning to a concept that has never been implemented.
Here's how it works:
In the 1950's health insurance cost a few bucks per month. Charity hospitals and charity house calls were more common than they are today.
From 1950-2000 the federal government inflated the money supply, increased the tax burden, regulated health care, regulated hospitals, regulated doctors, regulated insurance, kept medicines off the market, and kept certain drugs illegal.
In 2000 health care that cost a few bucks in 1950 now costs several hundred dollars making it unaffordable for many. The number of charity hospitals and charity house calls are minuscule. Using deductive reasoning one can conclude that government regulation directed at the health care industry contributed to the increase in the cost of health care as well as the decrease in the amount of charity service.