Mine where starts from @thistlebloom , she sent them to me after a bad summer of drought did in ALL my ground cover and then some. It stayed around all of last summer and came back BIGGER than ever this spring!
I mowed an area near Lamium and caught a piece in the mower. Spouse dumped the grass collector in a hole in the woods. This year there is a growing spot of Lamium about the size of a small bathroom floor. Looks just lovely and it is killing out all the garlic-mustard that had been growing there. Still, I'm not sure I want a wooded area covered in nothing but Lamium.
I have white, pink, and purple flowering Lamium. I've heard there is a yellow-flowering Lamium, but haven't seen it/gotten it yet.
Try sir walter buffalo turf. It performs well either extreme heat, frost or drought. It is low maintenance with a minimal mowing requirements and has the ability to repair itself.
Thyme also is a great option, it can handle moderate foot traffic, low maintenance and smell like lemon. The best time to fertilise is during the spring and summer.
I say make the whole area a BTE garden and grow food and perennials. Easy to maintain after you've got it established and will improve the soil, be useful and also be pretty.
The weeds, they be poppin' up all over the place! Lol
Idk if I should let 2 of the weeds takeover or not....The mintis going to take over either way, lol.