I see your point about burning your letters, that would not be my number one choice for "disposal." I think option number one should have been giving any and all 'nalia to a "former" soror/brother or sent it to HQ to be placed in the archives/museum. But after that, what else would someone who denounced do? They don't want to have anything to do with the org, so I think the "proper" way to "dispose" of 'naila you cannot give away is to burn it. We have enough issues with folks wearing letters that aren't theirs to begin with, why make it worse?
I am a member of OES and while our "letters" might be diferent than those of BGLOs, I say with some bit of confidence that they are both SACRED. I don't even put my T-SHIRTS with OES on them on the floor unless it's laundry day! (And I'm pretty messy.. 
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