Simple .....CANCEL your credit card. Once the card is cancelled, you won't get any bills. You can ask your credit card company to issue you another credit card for Pete's sake. It shouldn't take too many brain cells to pick up the phone should it ?
Of course if you use this card for a lot of monthly ( or Bi-monthly) purchases ( such as Meaningful Beauty ) you will have to notify each and every company you have deal with like this.
I had the same problem with a medical insurance company. I had change the credit card no# in order to get the insurance company to STOP billing me for useless medical insurance ( they didn't cover a medication I am using ).
Again, cancel your card and order a new card !
Product or Service Mentioned: Meaningful Beauty Deal.