Better yet, the problem supplies its own solution. A DNS that hasn't been registered, but receives thousands of queries, should be identified and permanently locked out. Permanently. In addition, a separate list should be made to shunt all further queries to an electronic dead ends for all such conditions.
Mail servers will need to be able to check against this situation and increase their local negative cache timeout for said domain. These domains should then be distributed to multiple DNS blacklists and only proper petitioning and authorization can lift the ban.