I understand the customer got his money back, but got more BTC than he was supposed to get. At the current going, this amounts to about 50 USD. While I understand you're angry, I am not sure if making his info public is the way to go. What is a customer in the future has a dispute with you, and then you put his info public, because you think he's wrong and you're not, when in fact a 3rd party may be the cause of the problem.
This case is clear cut, he should return the BTC he got that was over the amount he was supposed to receive, however when he denies to do so, just forget the case, and make sure there are no such erroneous paybacks in the future from your company.
50 dollars just isn't worth the stress mate.
On the other hand, prospective customers may be put off by knowing that in the event of a dispute, their personal information is not necessarily safe..