I'm not an expert, but I think credit card companies themselves may be pretty unhappy with something like that. It's a tricky proposition in the first place, accepting CCs as an online (or even brick & mortar) merchant. You are effectively assuming some funky risk. Fraudulent transactions mostly your problem, at least more yours than the credit card company's, the bank's, the credit card owner's or even the fraudster's (in practical terms).

I wouldn't be surprised if by breaking or even nudging their rules comes with a high enough price to kill the whole thing. You would be open to being ripped off painfully and your merchant account would probably be shut down pretty fast.