I saw an intresting demo at the recent Quilt Festival for making T shirt quilts. The quilter used the fusiable grid for the base.
It was ruled in 1" squares. She cut the pieces, including the sashing, fuised to the base and then folded on line and stitched 1/4". The same grid we used for watercolor quilts. Looked really easy and quick and avoided all the individual backing of pieces.