It's a little late, but I thought I would follow up in case anyone else needs this info.
I decided I really just wanted a plain, black replacement ring, so I got in touch with Ricoh USA, and they told me I should contact their service facility's parts department. I contacted them via email. They were nice and very helpful, and I got my replacement ring for $22, shipped. Here's the contact information.
CRIS Camera Services email@example.com
480-940-1103 (ext. 101)
In the future, I think I'll try to be more careful with my Ricoh when I'm at a beer tasting festival.