the only transport he ever owned as far as I know was a donkey ( an "ass" actually ) and people made fun of him for it, they said "haha, look at your "king of the jews" he has to ride around on an ass! can't even afford a horse or a camel ! He didn't give a rats ass about image. So, definitely wouldn't ride around on a $12,000 motorcyle and never a new car. There is a good chance he wouldn't even go for internal combusion. My guess is he would use a bicycle or maybe an electric vehicle if somebody gave him one for free, certainly he couldn't afford one.
So my main guess is a bicycle. He would attract more attention that way, riding across the country on a bike. He would probably make CNN.