Since you live in NJ many roads were originally designed with a lower 12'6" or shorter clearance. The Fed's have changed that to 13'6" vehicles on Federal roads and there is some construction in progress to ensure 14' minimum clearance as a safety margin.
http://safety.fhwa.dot.gov/geometric/pubs/mitigationstrategies/chapter3/3_verticalclearance.cfm
Vehicle height is limited to 13'6"
So it depends on where you want to go. If you want off the beaten path in the NE I'd suggest you try to limit yourself to the clearance you have now as you know where you can and like to go.