If I won that badge, I wouldn't donate it back to HQ, I'd wear it and pass it down to any (hopefully) future legacies.
Realizing that Kappa Kappa Gamma was the first NPC group to establish a museum...and knowing they have TWO museums...and believing that hundreds of thousands of members would be able to view and appreciate the beauty of this badge...and hoping that this treasure would never again be for sale on eBay (!) ...
I think the fraternity's HQ is the perfect place for it!
__________________ XΩ Alumna --45 Year member ΦΑΘ Alumna ΚΔΕ Alumna