Great idea! What I do with rugs that don't have the non-slip backing, and are washable as I would imagine a "quilt rug" would be, is to use washable Elmer's school glue. Makes for a little extra work when you need to wash it, but it will stay put without slipping. I even use it on my hardwood floors without damaging the finish. What I do is squeeze the glue onto the back of the rug after I've washed the floor, let it dry to tacky and place it where I want it. It will dry stuck to where it's placed! To remove for washing: (this is the harder, more time consuming part): using a wet towel, lift a corner of your rug, and moisten underneath the rug. It will come loose. Wipe again when the rug is lifted with clear water and dry the area with another dry towel. Wash your rug and repeat the process with the clean rug when you lay it again. I wouldn't do this if placing the rug over carpet.