When I do QAYG, I piece each block , then sandwich each block with backing and quilt each block one at a time. I join them with single fold binding strips 1 1/2 inch on the back first, then 2 inch on the top. Doing it this way you do not see the stitches from the back joining as they are hidden under the top sashing. I have used fleece as batting for this method with no issue, using 505 to baste.