I just want a BWable variant that matches Army Fatigues and doesn't have the strap/bullets. Army Cap or something. What? He has the only surviving one?

Take his.

If it's not showing up in his inventory, just equip him with a different hat and it should appear.

Yea it's the only one that exists in game.

Yeah no I get that. I would just think it would make sense to complete the Army Fatigues if there was a correct corresponding hat, other than the Army Helmet. Like a non-unique Army Cap.