This module (once unzipped and properly merged with an existing mod) will remove the prohibition against using bows from chainmail, plate armors, and mage robes. Surcoats of a type appropriate to the current armor/robe can be used in conjunction with bows/quivers. However as long as a surcoat is equipped, neither the bow nor the quiver will appear on the character's back. The bow will still be visible when in use. It's compatible with pre-existing saves, but as is the case with all mods...
Credits: Toccatta