Howdy, and welcome to the ORG.
If the dealer did a thorough check, and verified the condition of the EGR cooler and oil cooler, you shouldn't have an issue bringing it back to NJ.
When you can, however, get yourself a monitor like an Edge Insight CS or CTS. Reason for this, is the factory dash on the 6.0L will not inform you of any issues before damage is already done. The Insight can, and has kept me from being stranded more than once. That monitor, whichever you end up going with, is the only Modification every 6.0L owner needs in the truck.
Start learning about what the motors shortfalls are, their symptoms, and how to prevent them. I have a thread I'll link to get you started:
Write Up: Bullet-Proofing the 6.0L PSD.
Don't let the reputation scare you from enjoying the truck, at 90K my '07 is still strong and I wouldn't trade it for any truck on the road.