A health care stock, I do like, is PRGO. However, it doesn't really look like a contrarian stock pick, and may never be, it has had an impressive track record. But the short interest is high, and if the market weakens, PRGO might become more attractive.
The problem with this sector, is that there is going to be massive regulation and taxes imposed by the federal government, and it's impossible to know what things will look down the road, even in a year or two. You could invest now, and wait until things are more certain, before cashing out. The problem is that big players will know well before you, what is coming.
PRGO should do well regardless, as a manufacturer of generic drugs, they should be able to capitalize on the demographic trends, as well as be favored by government panels.