Another alternative lawn that works well here (north of you but not too far) is Pennsylvania sedge. It looks like a grass but technically isn’t. Doesn’t need to be mowed, but can stand to be mowed like once a year if you want. It spreads so will fill in from a modest amount of transplants, but can be interplanted with flowers and other things you want to grow. From what I’ve seen (in nature and in gardens) it is a nice ground cover that isn’t so aggressive as to form a monoculture. In nature, it grows in shade, but does fine in a sunny garden.
Speaking of groundcover, wild strawberry could replace some of the other plants you mentioned. Also
wood sorrel, or some other species of Oxalis. Self-heal, Prunella vulgaris. Wild basil, Clinopodium vulgare I think is the name - takes mowing well, but might get a bit tall without it, like a foot or so. Plantain of
course (both the introduced and the native P. rugelii grow in my yard). Native Potentilla/cinquefoils (there are several). Yarrow, not a ground cover but also does well in lawns. Those are all plants I have growing wild here - I can send a package in early summer if you like. It is too late for me to send seeds as most of my seeds are already outside (and I didn’t collect seeds from all these). Oh!! Violets.