Running lower air pressure off road is probably the best thing that can be done to increase traction and smooth out the ride. In my way of thinking, that is what the big tires on the TW are all about. I don't think she would have been so happy if the tires were at 20psi - me either. Lowering the air pressure is like you swapped out for some super high end suspension.
I'll run down short sections of highway as moderate speeds with low pressure but low pressure is not advised for long or fast highway runs as it could be dangerous.
Dan