OK.
For an alternate piece of headwear, I would suggest an actual Nazi helmet of some sort, without any kind of mask over the face, since real Nazis didn't wear eerie gas masks or the creepy helmets the Crisis on Earth X Nazi super villains had, and both are too good for Nazis anyway. So a more realistic Nazi helmet would suit him better.
Alternatively, a helmet evocative of Baron Blitzkrieg (a Nazi villain from DC Comics who's name is similar to this character here, making it an appropriate reference).