Holy h3ll !
Modding your case to mount that switch external would be very, very easy. But, you'd need a dremel to do it. A torch will punch open too irregular for it to look nice.
Then all you need is some liquid nails, and a small piece of sheet metal. Liquid nails the controller to a rectangular piece of sheet metal, and liquid nails that to the case. Liquid nails because you're probably wanting it on the front panel, which is plastic. A spot weld would work on the side panel if that's where you're going.
Dun and dun. With setup and cleanup, and 10 minutes of holding a heat gun to the glue, 25 minutes.
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