If I understand correctly, you found chains for the tires but they're rubbing. Correct?
How about Ice Screws (aka Tire Studs). You just screw them into your tire. You can get 1000 of them for about $60.
Here's an example
http://www.amazon.com/gp/product/B0..._m=ATVPDKIKX0DER&pf_rd_r=1MN3XRFJ2QKS63PKBSW8