There are two helmets that automatically remove your characters' facial hair whenever put on:
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loginByzantion Helmet
Type:Head armor
Requirement:13 strength
Weight:2.7
Slots:-
Upkeep:349 gold
Shop price:4,994 gold
Value:2,497 gold
Head armor:48
and
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Type:Head armor
Requirement:13 strength
Weight:2.5
Slots:-
Upkeep:307 gold
Shop price:4,395 gold
Value:2,198 gold
Head armor:46
Now i don't know about Gnezdovo helmet, but Byzantion one was made by Zimke and he used the open roman helmet model as the basic model to work with, and that one had facial hair enabled.
Afaik all you need to do is tweak one little stat for this to work, can you do that please ?.