I do have astigmatism, actually. However, looking at the prescription of the author in the article, it appears that he does too!
With not-so-bad astigmatism, you can get away with not correcting it in your contact lenses. That's what I currently do. It works okay and brings you to a good level of vision (1.0 here in Germany, probably 20/20 in the US).
The shifting position isn't a problem, I think the bottom-heavy ones adjust fine with a little bit of practice, but the experience is never that good.