Excellent question!!
If you saw the promo of a new member, he was wearing the Badge on either a polo or t-shirt and I said what?
I think it would be a wonderfull idea so that we as Brothers could wear our Badges more often instead of just a more formal type setting.
I wore mine one time at the chapter for F D on a sweater and it looked great.
We today are a lot less formal and showing our Badge would be great. It is after all a beautiful Badge.