If you do send it Fedex, you would want to put it in a large box, and have some mechanism to pull the housing open when the pressure gets close enough (and of course the housing locks in the "open" position). It might open on its own, but no guarantee. You'd want rubber bands or springs or something be sure to force open the clamshell housing - but now this is getting complicated. You could send it up without all this stuff, just hoping by luck it will open and not reclose.

Having someone take it up for you might be the easiest way.

-- Fast elevator would not work -- it is not the speed that matters, but the absolute height that you get up to.

-- Scuba training center would not work (I think) -- all they have are facilities to make things even more pressurized from the outside.