Great idea! I use bungees all the time. Found some that I really like at Walmart - they have plastic ends and are flat. Still stretch really nicely, but don't seem to be as likely to hurt you if they were to come undone. And since the end hooks are a hard plastic instead of metal, they can't stretch out and unhook themselves.
I bungee stuff to my little folding cart, to my truck to my balcony LOL...love the things. Great invention. These are the ones that are my new favorites:
https://www.walmart.com/ip/6-P...