Critics of the organization would likely be granted zero visibility into their decision making process. Just look how they have treated their own high level employees who voiced concern (http://en.wikipedia.org/wiki/Thomas_Andrews_Drake).
It would be a waste of a day. Maybe he could have met with Clapper - the man that perjured himself before Congress. Or Keith Alexander - the profiteer who is making millions off surveillance tech he was developing while head of the NSA. ( <-- That's the guy that made policy decisions on how invasive surveillance should be. FML) If the cronies want his ear: they should come to his office.
If anything, a visit to the NSA would bring negative connotations in the public's eye.