Joe -
If the floor is wide enough in your FourRunner to accomodate a 29-inch belt-drive, and you can effectively maneuver a washer into it, belt-drives can be safely moved laying on their fronts.
I would suggest a bit of caution because some (not all) machines can leak oil from the agitator shaft in the transmission. It's hit or miss with this, some will, some won't. Make sure if you pick out one that will, that you first, don't loose so much that you compromise oil level in the gearcase, AND that you don't get it spilled on your vehicle's interior. Some machines will drip dime-sized drips every few seconds while others are sealed, when layed down. This depends how long the machine will be laying on its side.
Tape your lid down so it doesn't fling around and accidentally chip porcelain edges of the top.
Also, be aware that the baseplate can dent a cabinet if it strikes it hard enough, if you man-handle the machine getting it into your vehicle, you can wind-up with some divits in the cabinet from baseplate edges.
You will need some help loading a belt-drive into an SUV, but it can be done. Ideally, these are best transported upright, but we need to do what we need to do sometimes.
Gordon