If you take the time to heavily starch the backing before layering, that should solve the problem. By heavy starching, I mean a 1:1 solution of Sta Flo liquid laundry starch and water. My method is to "paint" this on with a large wall painting brush until the fabric is saturated, wait a couple of minutes to make sure starch has penetrated the fibers, toss in the dryer, then iron with steam. What this does is stabilize the backing so it is much less likely to stretch and distort while you are quilting.