I'd dig up the path, and try to place the stones as close together as possible. There will still be adequate spaces in between for plants, but you won't have nearly the weed problems. Thyme will handle a fair amount of foot traffic. Chamomile will to, but the long flower stalks can look weedy. Mazus, IME, can't handle any foot traffic. It just gets smashed.

Gardengal, thank you for that list - I will research your suggestions! To give you a better idea of the sun situation in the area, we have a couple of euonymus shrubs next to the house (in addition to the path, there's a bed about 2.5' deep next to the house) that seem to be doing fine - they are full and not leggy, but they don't grow quickly at all - I don't think we've even trimmed them since we moved in two years ago. There were also some hostas in the bed, but they did TOO well - they were a variety that was much too large for the space so I had to rip them out. The neighbor has a row of boxwoods on their side of the chain link fence, but these are very scraggly and don't look happy at all. Weeds thrive, though! Given that info, would you consider this area bright shade? If so perhaps we'll get lucky with one of your suggestions. I've also read about Corsican mint doing well in shade, so that might be a possibility? Kitasei, luckily the path is large stepping stones with just small cracks between, so I'm not too worried about the slippery aspect. I really just want something that will not require any mowing/trimming and keep the weeds out. If there is a moss that will do that I'm all ears!

I just planted Mentha Requienii around some stepping stones - a very low growing mint that doesn't seem too invasive. Its maybe a half inch tall and has leaves even smaller than Baby's Tears. Has lavender flowers in summer. The root system is not much bigger than the plant above ground so it pulls up easily. But I like Ajuga very much - what a trouble free plant. The bronze and purple leaved varieties really set off the colors of the plants above them. Other people I know grow various thymes and they are beautiful. I also like some of the smaller sedums but they aren't going to take foot traffic.

I like to plant dwarf Mondo grass between stepping stones or flagstones. It can take full sun as long as it gets some water sometimes, and will do well in shade as well. It doesn't seem to be bothered by any amount of foot traffic. I really do like it. Look at the second picture that Melvalena posted in the thread "Pictures to make you drool-" on this forum. That is Mondo grass in that pathway. You might want to check out this site. Here is a link that might be useful: Check out these plants too!