In Search Of: The Easter Bunny's Postal Mailing Address

My daughter has a written a letter for the Easter Bunny.  She and I have been searching for the postal mailing address for the Easter Bunny, but amazingly enough the Internets have nothing on it.  I thought the USPS might have an address for it, similar to what the do for Santa, but found none.

Via BoingBoing, http://boingboing.net/2005/12/13/usps-howto-send-mail.html, maybe we could replace "Santa Clause" for Easter Bunny?  It doesn't much matter as long as it doesn't get returned to sender - since she is often our mail checker.  :)