The WSJ has floated an opinion piece offering what it calls a conservative alternative to Obamacare, that I think is the first time I've seen any conservative alternative except "Nuh-Uh!" Google news popped it up with a link to http://stream.wsj.com/story/latest-headlines/SS-2-63399/SS-2-381425/ which seems to be some sort of glorified rss feed with an HTML skin, so I have no idea if the link will be good for anyone else in the future.
It is, in my opinion, a beginning. In the past, I've called obamacare the wrong answer to the wrong question. This article suggests extending the current employer tax writeoff so that everyone, not just the employers, can buy insurance with tax-free money. Then it goes a step further by means-testing a tax credit for the poor so they can buy privately operated insurance with their tax credit instead of getting Medicaid. I think this is a good start to answering the question of how to make it possible for everyone to get at least minimal health insurance (if they want it. This is the conservative version, remember).
It is still the wrong question, though.