Phi Mu has what they call a panel ring, which is the black enameled part of the badge only on a band. There is a yellow gold and a silver (which could be white gold, I'm not sure).
I have one, which I wear when I look nice, but not something that I'd wear my badge on.
I really like it. It gets more use than my badge because I only wear my badge when I'm really dressed up, whereas I wear my ring when I look nice (khakis, etc.)
Deb
Here's a link to the photo. I hope it works!
http://www.phimu.org/store3/default.asp