Molly,
I do QAYG and have done several without using any sashing between the blocks but by sewing to the front.
Search here using Deb;s QAYG method. There is the one seam made putting two blocks together and then another stitching the "binding" down to the block. To my way of thinking , you then have a reinforcement for each block and then the additional reinforcement when you do each row.