Outside The Box
Here's a few ideas that really aren't that far outside the box.
[1] Parallel Universe
Just let ObamaCare wallow in it's own filth until it collapses. But at the same time pass a bill allowing for Free Market health insurance. Let the two systems compete side by side. We already know the outcome of such a strategy and one would have to think it would have the support of all the Republicans. The Liberal Republicans can have their Socialized medicine they seem to love so much and free Americans can go on about their lives in a somewhat decent fashion. As a rider to the bill, change the name of ObamaCare to ObamaCaid since most new members who signed up got stuck with Medicaid anyway. Changing the name of ObamaCare will help to clarify minds.
[2] Medical Marijuana Approach
Follow Colorado's lead and tell the Federal Government they can kiss my ass. A state such as Texas can pass their own law for Free Market healthcare and if the president determines he doesn't like that approach he can choose to sic the Justice Department on the case. Otherwise, it's a don't ask don't tell situation. Congress will squawk for a few minutes, but secretly they'll be happy we cut out the middleman.
[3] Coop Creation
We have in existence today real live working examples of coops that actually work really well. They provide the template for others to follow. About 1,000 patients are served by a handful of doctors and their support staff. They are structured to keep costs low and negotiate with drug companies for the best prices on prescriptions. Win/Win is not a formula we are used to in America but we could learn to adapt.