Putting that burden on the individual is akin to a reverse lottery, where an unlucky few pay are forced to pay obscene bills in order to survive.
Putting that burden on society is "socialism" and is at odds with market economics.
You could drop the cost of care just de-regulating. But Milton Friedman failed, who would succeed today on that path?
That's a huge oversimplification and isn't true in many cases, for example when a single drug company owns the patent on a life saving drug. The laws of supply and demand are not in favor of those who require that drug to live.
Patents are a form of regulation. De-regulating would include voiding those patents. The government created that monopoly and all its attendant problems; there is absolutely no reason why it can't remove it just as easily.
A silver bullet would consist of introducing a single-payer system and winding down the HMOs.
This might help a little bit, but there is no silver bullet.