I've only done one quilt as you go project, but here is what I did. I pieced each block, then I sandwiched it with a batting block cut the same size as the pieced block and a backing block that was an inch bigger (10" quilted block/11" backing block, for example). Then I quilted sandwiched block. When I joined the quilted blocks together, I put them backing blocks together, sewed along the raw edges of the pieced/batting blocks, but not through them. When I opened them up, the blocks layed flat and the seam allowances came up between them. Then I folded the seam open, tucked under the raw edge, and hand stitched it down. It ended up looking like sashing between the blocks. I thought it turned out nice, but it was more handwork that I liked :) I'm so slow at the hand sewing, it took me forever. But I don't have a machine that accomodates large projects very well, so it was the only way I could figure out to do it. I did like the finished product.