I like the card idea. I do have a question.
So when you flip your deck over, do you mean physically flip your deck over so that you can see what you are drawing for the rest of the game?
Or do you mean shuffle them so that they are in the reverse order from how they currently sit?(face down).
I you have a Lamb dominant there should be a Grim dominant that should reverse it. May be something like "Slight of Satans Hand".