Absolute Rescue pointed to this awesome method of storing ratchet straps. they stay neat and organized, and ready to Deploy. This is the Triple R method, and you can see how it works in this Video
VentEnterSearch.com also Suggested a similar method, though the straps are not able to retain their shape on their own. in the VES method, the strap is pulled through so both hooks are near the ratchet, and the loose strap is Doughnut Rolled. this method requires the roll to be tied in place to keep everything together.