My SIL makes large blankets or throws with big pieces of fleece. She cuts all the way around two big pieces and ties them together. Use two different patterns for reverse...no need to quilt it, either.
You could sew several squares together to make the larger pieces....??
Also...you could sew several squares together for scarves. You could leave a larger seam allowance where each square is sewn together and fringe it after sewing.
Fringe the ends.
I read on here, but cannot remember the name of the quilt. Was it scrap quilt, fringe quilt, fray quilt??? You could use the fleece for the squares and I think it would be absolutely amazing!!!!!!!