The larger the screen, the more risk that the screen will "flex" when horizontal and driving over potholes, etc, theoretically being a cause of glass panel flexing and possibly, cracking.
If you have to lay it flat, I'd advise putting it on a thick blanket with the thick blanket supporting BOTH the frame and glass, to avoid undue pressure on the glass. The blanket will dampen any vibrations and flexing of the glass panel that would lead to a crack. Just make sure there are no wrinkles or wadded up areas that would actually lead to increased pressure on the glass in a small area, which could also cause a crack. Smooth is the key, and ensuring the frame is also on the blanket.
When vertical, any bumps and jars do not induce destructive vibrations in the vector required to cause a crack, that's why they're shipped vertical half-way around the world, on ship and truck.