Reddit mentions of Not Rated Women's The Boyfriend Oxford,Cream,8.5 M US

For outdoor dancing I like something like this. If you do a little searching you can often find these Not Rated oxfords (and there are a couple of similar brands) for pretty cheap. The soles are a very lightly textured rubber that's actually pretty smooth to dance on, especially once you wear them in a little. They're similar to but smoother than the normal Keds sole, which I find too sticky. They're not shoes that are going to last long in any case, so if you don't pay much for them, you won't feel too bad about giving them rough treatment.

Beyond that, don't try to spin on concrete -- you're going to have to step through turns in a way that won't be as smooth as normal. You'll have to pick up your feet more between steps. Swivels may not work well either. You just have to compromise a little for the sake of your knees, which you don't want to mess around with.