Finally remembered that I know a few bands who perform in masks: Mamaleek, Monster Zoku Onsomb, The Berzerker, Boney NEM (probably parodying Tool). Glass Beams were in the recommendations for Angine de Poitrine.

They all are less restricted in their movement, though Glass Beams are pretty stiff for some reason. But Poitrines' and Buckethead's getup is more elaborate in the hat area, which might be a factor. However, I recently learned that Buckethead changes guitars without removing the hat.