Don’t know if this would be considered the proper place to ask, but any help on finding a ‘name’ or type of armour would be appreciated.
Sorry to be so short, but there's really not much to this one. The 2005 film Kingdom of Heaven invented the mask for artistic reasons (I guess audiences weren't ready for simulated leprosy), and some more recent depictions have run with it. It's not really a piece of armor, and there's no evidence that Baldwin or his contemporaries wore such masks, certainly not in battle. While perhaps very intimidating looking, it would starve the wearer of oxygen in a damned quick hurry.