I love this topic! Because I dislike turf grass and hate weeding.
In a hot dry area, creeping phlox is a great solution. So are sedums! I have various sedum including Angelina, Dragons's Blood and a bunch of others that do a great job if suppressing weeds. I highly recommend getting an evergreen sedum so that you're not having to compete with winter weeds.
In a hot dry slope, creeping Jenny will not spread fast enough for you. I'm going to try to look up my sedum pics for you.
Oh, and thyme should do well for you but my area is just a little too humid for it, I think. It tends to get rot and seems to be short lived.
