Adult Swim made it all the way through the final season of Inuyasha a while ago, so they're recycling through it now. The schedule's a little random--you can try to find an episode list somewhere and match it up to their schedule to see where they are.

I've been renting individual disks in order to watch it in Japanese, in order. Advantages to watching in Japanese: honorifics (which just add a lot to character interactions, and are very hard to translate); Jaken's voice actor is much less annoying; and you get to actually hear the opening songs, which Adult Swim doesn't play for some reason of their own.