Normally, the Shuttle can't quite safely reach the orbital inclination required to pass over both those points from a Canaveral launch, but this is an alternate history in which either it launches from Vandenberg or everyone hates the Outer Banks.
Special 10th anniversary edition of WHAT IF?—revised and annotated with brand-new illustrations and answers to important questions you never thought to ask—coming from November 2024. Preorder here!