The weather will dictate the trip. In mid-March, you could run into nasty late winter, or pleasant early springtime.
If it's nice, the mountain drive would be a lot of fun. If it's crappy, you'll want to get out near the coast, but get bored with a long I-95 drive.
Where I live, almost in the exact center of PA, we often still have leftover anti-skid material scattered on the back roads at that time. Stone chips are not a fun way to start life with a new car.