Thanks for the "noodle" suggestion! That sounds like it would work very well.
We roll them up in sheets to keep the plastic protected, but will give the fleece blankets a try, too.
For storage a large duffel bag works well, makes it easier to tie down on top, store in the dock box, v-berth, etc. Keeps them together, well bundled and clean. Does make for a fairly large bundle, though, which is sometimes more than you want in the v-berth.
When we first got our last boat we found the camper canvas folded up, unprotected under a bench in the v-berth. It had never been used and after about 13 years the creases in the plastic from having been folded up caused permanent damage. After a couple of years of fairly regular use, it started to discolor and crack along the worst of the creases.
The suggestion to protect the plastic from the metal frame is also right on target. I see boats down here in the desert with the plastic fried brown, dried out and cracking from the hot stainless tubing used for the bimini frames. West Marine sells white plastic snap-on pieces you can put on the frame to keep the plastic away from the tubular frame.
The key to long service life is to roll it up smoothly with no creases or folding, use the sheets or something to avoid plastic on plastic, and keep it clean.