I also prefer clear plastic. There are plenty of clear ones out there with oodles of drainage slits on the sides and bottoms designed specifcally for orchids. This is one I like for Catts.
Slotted Clear Orchid Pot - 6" There is plenty of airflow in these pots so the plants dry quickly. That seems to be the key to success with Catts. They don't like to be kept wet all the time.
As far as roots photosynthesizing...that's what they do in nature. Most Catts grow up in the trees and their roots are exposed to light, air, rain...you get the idea. Potting them is kind of unnatural but often the only way we can keep them happy in our climates.