You definitely need some sort of insulator, otherwise the board will short out (even though the case is anodized). Paper is a great idea, wish I had thought of that. I was using the mylar & electric tape thing that I included with the case, but if you screw it down too tight wires poke through it and short out on the case.
All it takes is screwing one screw down too hard and the board refuses to function. I highly recommend following tp's advice and trying a sheet or 2 of paper as an insulator.
And don't worry, you won't damage your keyboard!