Shoes, barefeet, rug, and rugburn

So with my rug in the dorms, even with barefeet I get serious rugburn on the bottom of my feet, with my heels I used the tape trick and that works fantastic! Brilliant whoever figured that out! But the rugburn is killer to practice spins. So I was wondering if anyone knows of a slick half-sock or half slip dance shoe like Capezio sells for dancers. All the ones I've found have leather bottoms. I saw in another discussion that someone used glue on the bottom of her shoes (tape does eventually wear off) and maybe one of those with glue over the leather. Any ideas?!