See the thread below regarding load capacity of P compared to LT. Also, note that nowhere in the manual does Toyota recommend LT tires for towing.
That doesn't mean you shouldn't run them. They'll provide a more stable fee if that's what you're after, but they're not needed for load capacity in this application and actually have less unless you add significantly more air pressure. I don't know what you're after but it sounds to me like the P tire wins on paper.
http://www.toyota-4runner.org/genera...-pressure.html