Bill, mine PSI climb also.
I run my front tires at 80psi (I think my sticker says 75 empty.)
than I watch the rear tire PSI raise the same % as the front tires. if the rear PSI climbs a larger % than front it is telling me there is more heat in the rear tires, and heat is caused by under inflation so I raise the rear PSI.
Most of the time I run with the tire PSI screen turned on. with Over 10K trucks they don't alert you when you loose pressure so that is my first defense. all the other gauges are also hooked to Id10T lights so might as well watch tires.