You can create or find a question to "share" and give your e-mail address in the message box.
Can We Offer Our Blurtit Friends Our Email Without Publicly Posting It In A Shoutbox?
You can also use the "contact us" and ask the mods to send the emails for you to that persons email. They might do that for both of you, but you both have to put in the "contact us" at about the same time. Hope this helps.
Just like what Tiggersmom said Contact blurtit and ask them to send the emails for you