Let me throw this one out...
since I have not be able to find the correct answer...say one who lives in Virginia, and has a CW, is taking a temporary job in Maine for three months...he/she enjoys shooting, and wishes to transport (not carry) a handgun, locked in a gun case, via automobile, so that he/she may continue his sport of shooting at indoor ranges...now, I-95 is the route one typically takes to get to Maine from Virginia, and in that trip, one needs to cross the GW Bridge, taking you through upper Manhattan, through the Bronx, and northward through R.I., Connecticut, Massachusetts, etc....some of these states have highly restrictive gun laws accompanied by Byzantine penalties...is it OK to do so? Don't mean to get OT, since the thread is transporting of handguns.