Just a thought and it may not be a good one
but check to see if locally you have some guys that do boat wraps for winter . It is usually white in color and comes on a roll . The material has nylon straps built in every few feet . They stretch it , tie it down then lightly hit it with a heat gun . I see cars on delivery trailers quite often with a similar setup . It would help protect the vehicle and I doubt it would hurt the paint . Now that I think about it throw a cheap cover on first then have the wrap done . Double protection . Good luck with the move .