Lobster roaches and Turkistan roaches are tough. I do not know about Dubia though. The Turkistan Roaches do alright below freezing but might need to get used to cold weather for a while before going much lower than that. Lobster Roaches might not be able to go through a few months of 32 degrees but they can do fine at room temp, they just do not breed. If you want those three kinds of roaches to breed you need to keep them warmer than 68 degrees. My Turkistan Roaches still grow and breed at 68 degrees.