I don't ship arcade parts often, but I do ship UPS fairly frequently and I also worked there during college. What most people don't know is that the damage isn't usually caused by people, but on the box belts and chutes. Those belts are driven by 2-400hp motors and when a "log jam" happens, that conveyor can become a very efficient box compactor. And the chutes may deliver a box from 20ft to ground at a fairly steep angle. If your box slides, all is well. If it gets started rolling, it can get quite a pounding on the way down.
To ship fragiles and have them arrive can get expensive. You want to be able to roll down a 22deg drivewway and be the box that others crush against when the log jam happens. Start with 275# boxes (vs 200#) and don't rule out making a wood crate. If you use cardboard, double box with at least 4" of blocking (avoid peanuts) between the inner *and* outer carton.
It's way more than most manufacturers do, but remember they factor in a certain % of loss. If you only have one unit to lose, overkill is the name of the game.