At the mouth of the harbor in Whittier stands Alaska's finest luxury lodging & dining establishment. As you leave the darkness of the Whittier tunnel, you will almost immediately view Whittier's landmark -- The Inn At Whittier.At the mouth of the harbor in Whittier stands Alaska's finest luxury lodging & dining establishment. As you leave the darkness of the Whittier tunnel, you will almost immediately view Whittier's landmark -- The Inn At Whittier.