With regards to the tires, forget everything you learned about them in pCARS1. Tire pressures no longer work the way they did in pCARS1, where lower pressure meant hotter temps. They now work much more realistically. As such, the tire pressure is far more critical than the displayed temperature.
Follow the guidelines I found in the attached documents from Michelin, Pirelli, and Hankook, and you will find success. I have done extensive testing in many conditions in game to verify that this works in game exactly as described in this real world document.
The goal should be to achieve 32 PSI in every track condition. This means your cool (ambient) temp pressures set in tuning setup need to be HIGHER than your warm (ambient) temp pressures. Remember that the pressure being set in the tuning setup is your COLD pressure, whereas the target is 32 PSI (2.2 BAR) at HOT pressure state. Cooler ambient temps means less heat generated, so the starting pressure needs to be higher to begin with (closer to 32PSI).
Using the above guidelines, I have achieved consistent 150F - 175F temps in all conditions. Note that Pirelli states that "Racing tires work best at high temperatures (122° - 176° Fahrenheit)". In my testing, this has been exactly correct, and has been where I have found the most grip.
NOTE: I race on the PC version, and all of my testing so far has been done in GTE class cars. The above has worked PERFECTLY for me every time.