Candi, I think a crochet edge will definately help.
Do you know how to do single crochet? I found that this crochet stitch works very easily. Just pick up around the edges like you would when you knit, except just start into the single crochet. The sc will be fairly dense so you may only need one or two rounds of it. Also you may want to go with a yarn that is slightly thicker to help hold the roll down.
If you don't know how to crochet then try just picking up and knitting in garter or ribbing.