If you want vinyl attached to the back of the quilt, I would make a quilt with no batting -- just a piece of fabric on the back and quilt it. I would then add the vinyl to the back and add the binding. I would not sew through the vinyl.
I was at a swim meet and some of the mothers made "blankets" by sewing vinyl to the back of a piece of light weight fleece -- no quilting, just sewing around the edge. The vinyl was light weight and they said they can wash them but hang dry.