Looks like this has been pretty much beaten into the ground, but I'll just chime in and confirm that the monitor bezel is absolutely the thing that makes the difference in shipping price.
I've placed three orders from Happ: one random parts, one random parts and a bezel, and one just a bezel, and there's no doubt. The bezel adds about $20 (give or take $5) to the shipping cost.
The reason is the shape of the box -- it's thin, but very wide and tall, making it a pain for UPS to stack, pack, and otherwise handle. I suspect that's also why they tend to arrive a little bashed up. Or maybe I'm just lucky.
However, a real arcade bezel adds immeasurably to the overall appearance of the cab. I, for one, still totally recommend it. But if you can find it cheaper somewhere else, that's the way to go.
-E