They actually make epoxy paints. Extremely durable, especially in high wear areas, or around nasty chemicals. They're not too much fun to work with in small quantities. You get a bucket of paint, and a small container of activator. Mix the two together, paint quickly, and it hardens up like magic.
I imagine that epoxy paint is very similar to 2-part epoxy, but with some sort of dye or pigment. Sort of like India Ink, but replace the water-based binder with epoxy.
The bottom line - you can mix pigment or dye with epoxy to make your own epoxy paint. I expect that most things would work, barring chemical incompatibility between the pigment and epoxy. It wouldn't be good if the epoxy chemicals ate the pigment. That would be easiest to tell by just trying out a little bit to start.