Long distance dolly towing

Might be making a big move (1800 miles) soon so trying to figure out what to do. If I do, I have to find a way to get my '68 Barracuda there. I don't have a driveshaft in the car so that isn't an issue. Would towing it behind my Dakota, on a dolly, adversely affect the Strange S60 Dana rear end in the Cuda? Would I be better off paying to have it shipped? Any insight would be appreciated.