Darren, I once made a corduroy crazy quilt (hey, it was the 70's!), used cotton fabric for the binding and the backing, embroidered all over it. It was one of Mom's favorite quilts and she used to wash it in the machine and line dried it! If you do not want to invest in fusible backing, you might want to try backing the thinner pieces of fabric with muslin. Just stitch the two pieces together and sew it as you would one piece of fabric...