I just had an ambulance shipped from Maryland to Phoenix. Took weeks to get a trucker who would take it (at the price I wanted). Mine was not drivable that distance so shipping was the only option.
What I checked out was:
Rail Freight - Could never get anyone to call me back.
UShip - Lots of interesting quotes $9000 in one case).
Local broker AAA BBB rated. - Worked with me to get it done.
Now if I had the choice I would of flown over and driven it back like we did with the Sportsmobile I bought in Florida. Took a week off and drove Daytona - San Diego and back to Phoenix. Treated it as a mini vacation.
The good part was getting to know the vehicle in a very short amount of time. The bad part was any thing that is a concern needs to be fixed quickly and you do not have tools or facilities. (in my case laying in a carpark changing shocks in Alabama in June after changing my jocks from the poor handling/speed wobble).
So my suggestion is get grandma/friend/sister etc to look after the kids, take the missus and have a few days driving fun.
Oh and the truckie will try to hit you up for a few extra bucks every time.