^At least he wouldn't have had to hide his moustache!
LOL I had the exact same thought.
Since it was his trademark (which why it was still there but covered in white face paint on Batman), I bet he'd insist that the makeup department just embellish his own with extra side hair (fu-man-chu style) instead of covering it up entirely.
Funny you should say that. That is exactly what they did with Michael Ansara's mustache when he played Kang in "Day of the Dove."