Batman is supposed to be extremely intimidating in the dark, so I made his entire costume extremely black. I don't know why he always had a yellow belt, but I personally thought that looked bad and took away from his design purpose. Also, I made his eyes be hidden behind dark lenses, and the mouth opening have a scarier silhouette with teeth... Super scary! Since his design is very dark, I've also uploaded a WIP and outline versions so it's easier to see the detailed armor. (link/thumb below)
I think if you made the crowl and cape a dark gray with shadowed eyes, add a full face black covering over the face, but keep the fangs gray like the rest of the cowl; it would solve your problems. Try that out in some sketches. The fundamental design for a new suit is right here, if you just make it work out right then I wouldn't doubt if you got a call from DC.