I've ridden conti sportts and never really had a problem and this was when I lived in the SF Bay Area. Michelin has a good light weight tire and also specialized tires foldable are okay too.

Armadillos are way too heavy - yes they are bomb proof but for me that is just too much rotating weight. I would only ride those if I was around a bunch of thorns, goatheads, and such a lot, but I am not.

I know you know what you are doing but did you pump up your tires before each ride to 110 or so? Road tires tend to lose air a lot quicker sitting around than mountain bike tires so you need to pump every time you ride and that should help with some of the problem.