Shower Drain Hair Trap

My wife's beautiful long hair seems to clog her sink and our standing shower drain pretty frequently. You can remove the sink trap and clean it no problem, but what do you do about the shower? I bought a cover to go over the drain cap, but the hair was able to go around it and still clog the shower. So I decided to design a new screen with smaller holes and print it in a waterproof material. This should work on most standard 4" drains. I calculated the area of holes that the water could travel t