I have tifosi optics prescription sunglasses and like them a lot.
I also have run regular tifosi and goodr sunglasses and feel tifosi is higher quality.
Goodr has an option for prescription. They're great for not bouncing or sliding around. The non prescription sunglasses are $25 if you want to try those first.
Agree thay Goodr is a good option. My only complaint about them is that their lenses scratch too easily, but presumably prescription lenses would be sturdier so that should be fine.
You'll probably have more luck if you look for prescription cycling glasses - all of which should also be good for running. The market just seems to be bigger for cycling, to the extent I've often seen prescription glasses advertised in cycling magazines, but I can't recall ever seeing glasses marketed at runners
Also I think there's just more interest from cyclists. I've considered getting prescription cycling glasses to deal with the wind when I'm on my bike, but I just run in my regular glasses - but I've got plastic frames so no nose pads to discolor. And I don't run very fast, lol.
I'd search just for prescription sunglasses and find a model that looks sporty, or regular glasses if you don't want the tint and find a lightweight frame design. If you're committed to something advertised as being designed for running or sports, look at brands like Oakley and either pick a pair with options for prescription lenses or bring it to an optometrist and have them replace the lenses with prescription ones. Or just go to a LensCrafters and check out their sport options. There are lots of glasses made for athletics.
A place for runners.