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Regular copyright law perhaps. Unless they protected those emails via some technological mechanism that you had to circumvent to publish, the DMCA isn't relevant.

That said, if nothing else there is a strong argument fair use argument for posting excerpts from the communications along with your rebuttals. It's not my money of course, so I understand the reluctance to do so.

The DMCA isn't relevant if you host your own website - they could sue you for copyright infringement, but that seems unlikely. Of course, IANAL.

As a commenter below said, you would be the one taking the risk, but it would add a huge amount to the credibility of your claim if you posted the legal notices.

Courts have generally found you are completely in your rights to post any legal threats you get.