Hell, I just can't believe that 3499$ = 3499€ so I figured some things out :
- with today's rate, 3499$ = 2662,50€
- difference with european pricing is = 836,50€
- three days trip from Paris to NY, including flights and hotel is approximately 700€
You could just fly to Zurich (Switzerland). Its a 1h flight which will cost you around 200Euros (AirFrance or Swiss) and in Zurich you get the camera for 3399.- CHF (= 2820 Euro). You should also consider, that sales taxes are included in the swiss price, but not in the us price
Canon.ch lists the mkIII for 3998,00 CHF. Where can you get this camera for 3399,00 CHF in Zürich? It is just a 2 hours drive from where I live. It could be worth a try, nevertheless I have been check thoroughly a few times by the German customs when coming back from Switzerland.
And yes, they check the serial numbers of cameras to find out where it was bought, they like to check for new electronics especially at airports.