If you are up at dawn (or even up to an hour later), the current temperature will be the nighttime low.
If you are camped in a basin, you can add about 10F to estimate the temperature of the air on the ridges above you; if you are camped on a ridge, you can add about 3 F for every 1000 feet below you of terrain that you will be skiing. These will provide pretty good off-the-cuff estimates for assessing the temperature of the snowpack around you (instead of just the single observation you make).
Thanks Bobby, I figured coldest time of night was somewhere around 3am. Good to know I was wrong(and it explains why I hate getting up early when camping)
You're welcome. Under normal conditions (no fronts moving through, etc.) the air cannot start warming until the sun comes up. It actually takes an hour or so of sunshine before the heating from the sun exceeds the cooling from radiative loss to space.