If your useing a haul your own stuff truck like U-haul, Budget . . . for an extra $400 or so you can get a 4 wheel trailer (which has brakes) to haul it on, all 4 wheels off the ground, just get a come along and winch it up . . . most shippers would charge you $800 - $1000
IF they woud take a non-runner . . .
What you are talking about is sometimes called a "stiff hitch" and would not be fun traveling that far . . . what you would pay for extra fuel, wear and tear might not be worth it . . .
NJ will be a bit different for you . . .