So I ordered some RaceReady LD Fitness Shorts. They claim, "These running shorts are an ultrarunner favorite, and work great for any runner who is prone to chaffing. You've read about the advantages of wearing stretchable fabrics..... DRYLINE supports your hamstrings and quads, reducing muscle fatigue." If the bit about chafing, and reduction of muscle fatigue is true, then they will be worth every penny.
I went for a run yesterday, and they are very comfortable, no chafing, no bunching - but it felt like I was running in just underwear, weird, I guess that is something I will have to get used to, because so far, these are the best running shorts I have owned. Oh, and Jess says that the pockets at the back look like a hula skirt, I say they're practical (and they are). I went one size up, because I didn't want too much compression, that also seemed to work well.