I used to use the bungee cord or electrical tape method to hold the loops of standing rigging as well, until I found my new love -
Electrical zip ties. I keep a pack of those in my gear box, along with a pair of dykes for snipping them loose (insert your own bad joke here). Not long enough? Chain a couple together. The things don't break and don't come loose, and are much easier to do than wrapping tape. The zip ties even work well for things like attaching the license plate to the trailer and such.
Also, not as dangerous as bungees. Bungees dangerous? I used to be a diehard bungee fan, and heard the occasional bungees are bad comment and wrote it off to old fogeeism. Then can the day when a stretched bungee end slipped from my hand and the hooked end just missed my eye after whipping around what I was securing. My bungee use has dropped off quite a bit after that. Velcro straps and zip ties for me...