Compensating for extra moisture from cold flour
No, it has nothing to do with atmospheric moisture. It is the temperature itself. You get much more gluten with cold dough, and it is also very sticky and inelastic. If this is the effect you want, continue doing it. In fact, some authors (e.g. Corriher) recommend making very high hydration doughs with substituting some of the water for crushed ice, to make them more manageable. 

If you don't want this (and most recipes are developed for room temperature ingredients), then you can't get the standard condition of your dough except by using room temperature flour. If you don't mind the different gluten texture in the baked product, but want to make the dough less sticky so you can handle it better, you should be adding water, not removing it. This will dilute the dough, so it doesn't end up so tightly cramped. I can't give you a rule of thumb for how much, you'll have to decide for yourself what feels comfortable to you.