there are a good number of hoods, cowls and masks that make your face covered completely
if you prefer you can use a circlet under the archmages robes... otherwise yeah, the mask is going to cover your face. It's a kinda cool look, if you dig hoods to begin with, which I do.
Sorry I didn't make it obvious in the question, as in my face vanishes, I look like a Nazgul of lord of the rings, I know I won't be able to see my face haha, but as in, my head literally isn't there