I just made a rag type quilt as others have mentioned. It was quick and easy. I did not use any stabilizer. Even tho that fabric is knit and can stretch, it is heavy enough to hold it's shape while sewing. I did lighten my foot pressure one setting. I didn't use a backing on mine but adding one would be no problem.
I also used a narrow zigzag stitch to give a little stretch to my seams since I didn't add a backing.