I actually ran into an issue a little while ago in that I allowed my MaxMind account to run out of queries. Not realizing this, I saw a few days of higher than normal sales but just assumed it was a good day. When the first chargeback came through, I immediately noticed the problem, bought more credits, then began to go through each transaction one and a time and noticed a pattern in the email addresses (all two words followed by 3 numbers @hotmail.com) and individually refunded each and every one of them.
I still got chargebacks but I was able to dispute them by showing that the transaction had already been refunded.
My ideal credit card would be on where the physical card has e-paper on it with a 6-digit PIN that changes periodically, like 2-factor auth, and that PIN could be required for purchases to be authenticated. The new smart-chip cards don't help at all with online purchases, only point of sale.
On a side note, I found that nearly all of my fraudulent purchases came from Vietnam to the point that at one time I put in an IPTABLES rule to block the entire country.