Thanks all for the advice. As was mentioned, I'd probably drop it off at my NJ FFL and make a call to the local LE agency to confirm that I won't be put in prison for 7 years.
Smokin', that's interesting that out of state residents can travel in NJ at all with a pistol, albeit to exempt locations.
On a side note, does that mean I can drive to an NJ pistol range with my own gun once I get my NY permit?
Thanks all.