By attaching a sheet on the back of a crochet or knit blanket, it could help keep its shape as well as adding a bit of warmth. A flannel sheet would be nice. Also made me think - what about a fabric lining for a knit cardigan, to keep it from stretching out?
Simple ladder lace - Cast on 24 sts (or any number of stiches dividable with 4). Knit 2 rows Knit pattern row: K4, (YO, K2tog, K2) repeat between ( ) 5 times. Repeat the pattern row until your scarf is at desired length. Knit 1 row.