I am doing a qayg w/ fleece backing. I am not sure if this will make sense or even work but this is what I was thinking, since the fleece does not ravel, I am making my fleece backing over size, overlapping on the back then cutting straight through both thicknesses of the overlapped fleece so they will match exactly, I then plan on hand stitching like w/ an "x" cross stitch. I don't know if this will work for you, mine is a sofa size quilt for adults (not handled as roughly as having children in the house) and my fleece is a baseball print so the hand x's should add to the design.