It is not likely that 407 WDW-DINE will be able to tell you, or at least not with any accuracy, what the individual policies of the Brown Derby restaurant are. They're really consistantly useful only for making reservations or checking for reservation availability.
The general rule that is usually reported is that WDW TS restaurants do not accept carryout orders. There are here and there reports from someone who did manage to get a carryout item from a TS restaurant, so all you can really do is ask when you arrive and hope you get someone at the podium who is willing or able to accommodate your request.