I support this post wholeheartedly.
While I have no use for a beard in this game for myself, I have a number gay friends who aren't ready to announce their orientation for the entire Tower to know. Providing them with beards would be an excellent way to draw suspicion away from their secret lifestyle.
Ideally, the beards would also have an easygoing and friendly air about them, and wouldn't cause people to stare strangely.