Hi,
I have been making Linus quilts with fleece backings. I use cotton patchwork or panels on the front. I don't use any batting and I make them pillowcase style where you sew the right sides together of both back and front and then turn them right side out. Since the fleece will stretch you have to pin baste the whole thing fairly close together. I then machine quilt around the outside edge about an inch in to form what looks like a binding. The rest of it I either do in the ditch with the cotton side or create somekind of grid. I like to use a wide zig zag decorative stitch and varigated thread. They turn out quite well.