One hospital will begin to advertise inexpensiveness for the care. The prices will be lowered to the point that people could pay without insurance and business in that hospital will boom. Other hospitals will begin to follow suit because they cannot compete with low prices.

The real solution to solving healthcare is to get people asking how much a doctor's visit is going to cost. There is no way to mandate people to go to the lowest priced place so the solution to getting this into the minds of people is by advertising low prices in a hospital, just like every other business on this planet.