I like to use fleece as the backing (no batting) on baby quilts because it's so light & fluffy compared to a traditional quilt. It's also much more washer & dryer friendly. I've tied it & quilted it without too much trouble. I only had a stretching issue on one and I think I must have not squared it properly or pulled it too taut when I taped it to the floor or while machine quilting X's on it, a corner got snagged and pulled it on the bias.