http://www.burrpatt.com There wasn't one listed on the AGD ring site but there might be one on some other group's page.
I have had a badge ring holder for many years although my it doesn't fit my finger anymore
I love my Badge but it doesn't make a great ring, esp. with the one with all the pearls. It's a little too bulky. I tended to bump my hands alot and was afraid that I would damage the Badge.
So, the #1 question would be how much do you care if your Badge gets bumped several times a day?
BP doesn't have Phi Mu on their site.