I once went on a large group bike ride. It was awesome fun (even though we were wearing clothes). I would go simply for the enjoyment of riding with a large group. It may or may not contribute to the cause of encouraging a more relaxed social attitude towards public nudity, but it would be fun.
I attached an iPod and a speaker to my handlebars to provide entertainment for myself and my fellow riders.
We rode in the early evening, so sun exposure was not an issue.