Tesla states that doing anything other than flatbedding it is a no-no. But some people don't want to listen to that, and hence we have the Russian video.
Assuming you had to, I would pull it on a lightweight trailer, myself. When I moved from California to Illinois in 2000, I pulled a trailer with my Buick sedan behind my Suburban... it worked fine.
Just make sure your towing capacity is enough (I don't know what the Mercedes G permits)... Model S + trailer is likely to be about 6k lbs.
As you noted, it may be less expensive to just ship the SUV - in my case, my rental was nearly free so all I paid was gas.