I did some digging. What I found was that P metric tires, when placed on a SUV or truck need to be de-rated to 91% of load. So that means my original P metrics are really about 2306 lbs at 35 PSI instead of 2535 if I am understanding that correctly.
Now I found this load chart, and based on my tire size and C range, 45 PSI should put me at about 2255 lbs, which is pretty close. This is a TOYO load inflation table, but I believe all LT tires have the same ratings from what I read. So if I run about 45 PSI, it should be rated about the same... I hope.
So for now, I'll try run 45-47 PSI when towing and see what happens. Thats still under the 50 PSI max.