Anecdotally I helped a client entirely eliminate their chargeback rate by creating a new subsidiary named directly after their product, so that the billing line item was obviously the product. They also saw a slight increase in inbound sales, which surprised me.
That's a great idea, but it's only helpful above a certain sales volume, which I don't really have. It's just disappointing when the charge back happens, but the economics of the business don't really warrant doing anything about it.
Were you dealing with some other payment processor or bank that didn't allow custom statement descriptors? Stripe and PayPal let me write whatever I want there.