Follow the method you already mentioned (wetting and glass), then go to a sign supply shop and get a roll of transfer tape.
You can just lay the tape over it rub it down and pick it all up in one piece. Then you can use your iron to stick the monokote in place on plane. Nice part about this method is that it prevents wrinkles and a lot of the bubbles.
Of course being thicker it will take a little more heat than it normaly would.