Well, first, I don't think that I have to come up with a workable system just to point out that the current system is wrong. When you're under arrest for stealing, you can't say, "What's your system for how I get a TV without paying?" as a defense.
Second, contrary to popular belief we don't live in a utopia. "Solutions" don't always exist, and the bottom line is that we don't have enough healthcare to go around to everyone. Economics is about scarcity, not abundance. So as I said, in trying to make sure that nobody died from lack of care we took action that resulted in higher costs and fewer hospitals. And the reality is that now even though a hospital is required to stabilize you, once that's over if you can't afford healthcare you will still likely die from lack of continuing care. Now the ACA is the next proposed "solution", but as I said I'm skeptical that this is going to be our silver bullet for the same reasons that EMTALA wasn't. In the meantime, forcing bystanders to foot the bill for all of this experimentation is still wrong.