I have EE crosses that lay pink eggs. One of my mixed banties hatched some of her own eggs, fertilized by my EE roosters. Her eggs are of the tinted, off-white variety. Two of the hens that were born of that clutch lay green eggs and one lays pink eggs.
I don't know exactly what breed my mixed banties are, I'm thinking OEGB and silky, but they have to be crossed with something bigger, because they are not as small as a true bantam? My mixed bantams produced girls that look like EE's, just a little smaller, and they boys all looked like EE silky crosses, with five toes and crests! It was crazy!
I would suggest trying a mid-sized hen that lays light brownish or tinted eggs and crossing her with an EE rooster and see what you get!