I mean the #1 question has to be identity for the program and how much of it comes from being in the northeast and what does that mean in terms of building a program for this area vs the mistakes his predecessors made trying to make us "The USC of the East".
Everything IMO stems from the culture and identity moving forward.
I would ask him three questions. First "What his name?" Second "What is his favorite color?" Third "What is the air speed velocity of an unladen swallow?"