In the high desert you will have 30-40 degrees difference between morning and evening. It is better IMO to check and obtain the "cold" pressure a couple of hours after you stop. Then the ambient is till relatively high and will be closer to the daytime average temperature. If you rely on the morning temp. the ambient will be low and in a couple of hours it will shoot up when the sun gets to working on the road surface.
An evening reading will give you a closer to daytime good running temperature.