Chambers 2, 3 and 4 are the easiest to get this in. After one playthrough to get it down, playing those 3 again will be a breeze to do in under 60. And if you hadn't noticed, that panel on your left before you enter the disassembly pod allows you to choose which chamber to start with.
edit: Also, the game is always keeping track of your times, so unlike the Course 4 without dying achievement, you can get this one in increments. Credit to Avata.