I have my armor and hood both removed using the above methods. Also, if you want to get rid of the crossbow, I read somewhere that you can hold that weapon out, let guards kill you, and switch to an outfit as the desynchronization sequenze occurs. When you get back to the game, you won’t have that weapon equipped anymore. That works for your short blade, too. I apologize if I read that from someone on here and forgot.
I really hope none of these end up being patched; I love that bare bones feel while in the game.