First, you have to have a legit account to get a bogus one.
Second, let's limit the number of bogus account numbers available to, say, a few per month.
Third, you have to leave a detailed description of reasons why you are requesting the number.
The bogus numbers should be traceable to the person who requested it. If you had a false alarm (if the transaction performed with the number would stand up to the regular CC dispute process), it gets charged to your account, plus some serious fee.
No law enforcement needs to be involved, except at the final stage.