Might have to look into the parking in the domestic garages again.
LTP is becoming more of a pain lately. The last few times I was there, the parking space occupancy sensors were completely unreliable. The last time, after circling the new garage for several minutes (which showed around 100 spaces available at the entrance, with seemingly as many green lights above occupied spaces), I couldn't find anything and had to drive over to the old garage to find a spot. All this of course before another 15 minute AirTrain ride that awaited.