I'm inclined to agree with GrannieAnnie (especially if it's not quilted yet). Mind you I'm no expert on bringing the backing over to use as binding. I love binding, so I make binding and stitch by machine on the front and handsew the back (IMHO that is one of the most satisfying things about quilting:)).
Let us know what you decide, and we would love to see it when it's done. Happy quilting.