Well lucky you with the big hands, mine are too small.
I have to use my 3rd finger for a pinky break. I don't see how you have to use the 3rd finger as well.
Some moves are impossible for me to pull off "the proper way" but with a bit of practice they can be adapted to suit your own needs. I can't even do a charlier the standard way, it's all about balance. And a palm for me is just possible.
But I suppose your lucky enough to be able to palm at least 3 decks of cards at once.
