I'm a chemist so I don't have any problems with poisons used properly. I have tried diatomaceous earth for some pests and it has not worked for me (I am in a low humidity environment-New Mexico.) I usually go for a poison, often boric acid for ants and roaches.

If you think about the rate of cockroach reproduction, you will probably decide trapping is hopeless. If you feed them, they will keep ahead of any trapping or killing approaches. My wife suggests changing your paradigm. Think of the cockroaches as pets. You are feeding them and providing a happy home for them. If you don't like them as pets, stop feeding them.
Rick