Freddie, Frank's idea is a good one. I have a couple of ideas myself. One thing is that using these thin cards will make the stacks much easier to handle, especially for dealers with small hands. It's also possible that they are less expensive than thicker cards.
This whole question also points to a very important thing and that is we need to make sure exactly how many decks we are playing against. A situation like this would throw true counts way off. Hit 'em hard, The Side