Solution to Acela train.
Direct flights from the Hudson to the Potomac.
According to google maps, it's 180 nm from river to river and we'd be under 10,000' so you can probably skip all of the ATC delays for traffic going out over White or Elliot or what have you. TEC baby! And according to google a DC-3 with floats cruises at 140 kts.
So it's probably about the same as flying on the shuttle now on a normal day. Probably half the time when you consider the drive to LGA. And less than half when consider the drive and the DCI runs late because of a maintenance check that needs to be done at 11 in the morning but no fear we called the mechanic about 15 minutes prior to go, the mechanic is right around the corner, on the field even, should only take a moment, and then an hour later they just have you go to the next flight.
or just use this, you can buy it new: