BucknellBubbly, I would suggest that you also contact Fraternity HQ with this question. I'm searching on the website now and if I find an answer, I'll edit this post to include it.
I've never seen our badge/COA/brand on clothing. AAMOF I don't recall seeing those items on any other chapter's clothing. Now that I've written that, I'm sure I'll get told differently!
“The more we witness our emotional reactions and understand how they work, the easier it is to refrain.” Pema Chodron.