The dealer I bought the car through with the warranty has just offered me a rental car, because they have had my car for about 30 days now. I'll ask for a pickup truck, and then the problem is solved. They sold me a car that needs to be in the shop for a month is repaid by me putting 1600 miles on there rental car.
And I agree, I do not want the top to get deformed, but this is worst case scenario planning, if I don't have the box in time.