The White House would be rebuilt as quickly as possible I would imagine, but not before every bit of the rubble is scoured through looking for relics that may have survived. That would be the most tragic part of this, all of the Presidential portraits that may be lost, including Washington's. Imagine a restoration effort like never before to. A thing to discuss here is how much of the complex would be damaged in a hit? would the oval office and west wing be alright if the plane hit the residence directly?
The President would likely reside at Blair House during reconstruction, much as Truman did with the renovation.
The President would likely reside at Blair House during reconstruction, much as Truman did with the renovation.