The second that the card is placed by an opponent, tap a card you want to track. That card will "float" during the scramble process. Scoot it to either end after the shuffle and now you know at least where one of your cards are.
Nothing but cat butt!
When someone plays a "Nothing But Car Butt" card on you, the cards will all flip over, before scrambling up. But, if you grab and hold a card up in the air just before, and while the cards are scrambling, you can hold onto a certain card of your choice, and know where it is.