Can a queen mattress and box spring be Transported 80 miles on the roof of a Jeep Grand Cherokee?

Getting a queen bed free from my cousin, it is only at His shore house in Ocean City, NJ and I live in the Philadelphia Suburbs. It is 80 miles, give or take. I can take backroads, Each Way 1-lane, but ultimately I will have to go across a bridge. Has anyone done this or something similar? Am I crazy to try this?
Tags:Cherokee , Grand , Jeep , mattress , Miles , queen , roof , Spring , transported
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