A. Think of its strange beige as a pie shell! It's the background, not the focal point (others have suggested this and you've agreed, so nothing new there).
B. You can Velcro or pin lace yardage or thin fabric yardage over the fur in panels to add new light
colors, textures, a change in background without adding much weight
or changing anything permanently. I believe others have found Velcro will stick to rat fur using only one side of the Velcro...the rat fur acts as the other side. You can stitch Velcro to your fabric panels and just stick it up. Just don't pull it off too often or you'll fuzz out the fur.
Those who get to see what you come up with are privileged! Hope you have lots of fun "doing" the inside, and using the whole thing!