I'm using the Load Limit/Tire Pressure tables and guidelines published by the Tire and Rim Association, Inc.
Using these tables one can determine the factory recommended Load Limit for the stock tires at stock pressure. From there, it is easy to calculate the pressure required to have the same Load Limit for a tire of a different size. There is even an easy calculation for substituting a LT tire for a P tire.
For example, my 2013 LC200 has a recommended tire pressure F/R of 33/33 psi.
The stock tires are P285/60R18 114V. The Load Limit @ 33psi for those tires is 2,520 pounds. Since these are P-Metric tires used on an SUV, the Load Limit was increased by 10%. The "raw" Load Limit is therefore 2,520/1.1 = 2,291 pounds.
The larger of 1/2 the GAWR (Front or Rear) can be no more than 94% of this "raw" Load Limit. My Rear GAWR is 4,300 pounds, so 4,300/2 = 2,150 pounds which is 93.8% of the "raw" Load Limit.
OK so far?
So if you want to substitute a different size P-Metric tire, you must find the Load Limit/Pressure that results in 2,520 pounds.
Since LT tires do not have to have their Load Limits increased by 10%, if you want to substitute an LT tire, you must find the Load Limit/Pressure that results in 2,291 pounds.
In my case, this resulted in going from a P285/60R18 114V tire @33 psi (Factory recommended size and pressure) to a LT285/70R17E 121R tire @ 40 psi.
So ... if I have the information I requested in my previous post, I can look up the values on the Tables and give the recommended tire pressure for the new tire.
Clear as (IH8)mud, right?