First off, strictly speaking, this is most likely to be a stolen credit card (i.e., fraud) rather than money laundering. You do NOT benefit from fraud, because when the cardholder notices the charges, they'll call up their bank and issue a chargeback. The $488.15 in your account will actually be removed and given back to the original cardholders. In addition, each fraudulent charge carries a $15-$25 fee, which you're liable for. https://www.balancedpayments.com/docs/testing#chargebacks---...
What's worse, chargebacks can take 60-120 days to reach you, since there's delay at every step: the customer's bank, the credit card networks, your payment gateway, and the acquiring bank (your bank). Unfortunately, that means you won't know how much fraud you have today until February (!). It's a broken system, but that's how all the major card networks work, so it's something that everybody who sells online has to deal with.
If your fraud rate is higher than about 2% for two months in a six month period, Visa and Mastercard reserve the right to block payments entirely to your (or Balanced's) account unless you prove you can get the chargeback rate down. This is called an "excessive chargeback program."
In terms of heuristics, fraudsters adapt rapidly to whatever counter-measures you use. The half-life of a good heuristic is maybe a couple of months. The best approach is to evaluate hundreds of different signals, using a machine learning algorithm to constantly adapt to changing fraud patterns. My company is running a private beta of exactly this technology and we're happy to help: http://siftscience.com. Even if you don't use us, I can recommend other services or give you general pointers.
Hope that helps! Let me know if you have any questions: brandon@siftscience.com.