You can squeeze both types of tape on the same card by wrapping it around the card "the short way" instead of "the long way".

Just put one of these in my wife's purse the other day, she found it and just rolled her eyes. She loves me but thinks I'm a nut... oh well.

Look for those fake credit cards that come in the mail. I've used several to flat pack tape. Now I've got duct tape stashed all over the place.