Dream on! Companies DO continue to bill even after cancellation.
Unless you cancel your card, you will have to continue to fight the charges. It is the same with a credit card as with a bank card. The company will continue to dispute the fact that you entered a contract and you WILL lose. Even if you return the product, have a receipt of delivery and a recording of the conversation, which is illegal in most states to record someone without their permission, the campany will state that they did not receive it and you will be continually charged.
You have no proof that the product was actually received. Sorry, but the law may be on your side on paper, but in real life it is just talk. Unless you have a lot of money and a prestigious attorney, you will not be able to do anything about it. Even then it is doubtful that a fraud charge would happen because a contract was made and the person ordering agreed to it when they called or went on the website.
That is actually the way the law sees it.
Reason of review: Problems with payment.