Towing my 370Z

phishy

I'm making a cross country trip from California to North Carolina at the end of this week and I need to tow my 370Z behind my Jeep. Because me and u-haul aren't friends...I can't rent a trailer from them so I'm buying a tow dolly. Do I need to remove the rear drive shaft or Is it safe to run it in neutral as long as I'm stopping ever 300-350 miles for gas? I notice that in the owners manual it says you can tow 500 miles at a time if you are flat towing it...but only 50 miles at a time if just the rear tires are on the ground. Is this because of the angle of the car?

Just trying to get this all straight before I pull this thing and end up cooking my manual trans. And if I do then I need to come up with some BS story on how it happened so its replaced under warranty......lol.