hair,
If I'm collecting acorns to plant, I always store them cold & moist, from the time I gather them - regardless of whether they're red or white group.
Large-acorn bur oak types might last a while without something to keep the moisture levels up, but I wouldn't want to count on the smaller white(like muehlenbergii) or red oak acorns not drying to the point of losing viability, if I just left 'em at ambient temperature/humidity.

I'm going to try an experiment. Since I have the grow light mentioned in my post about the Acer nigrum, I took a half dozen of the sprouting acorns and put them in a small bowl with a moist paper towel. In a few days when the radicles truly emerge I'll stick them under the light in pots. I already have some Q. michauxii there, too that are growing a bit.

The rest I'll leave in the fridge until sometime in March when I can probably get away with planting outdoors.

I'm curious to see how the near-freezing temps hinder root growth. Although roots can/do (obviously) grow to some degree as long as it's not freezing, part of me thinks that even 6 weeks from now, the ones that stay in the fridge won't grow more than in inch or two in length, max during that time. Short enough that I can still work with them to safely plant at that time. I have the room to play around, I have 30+ acorns and nowhere near enough room for that many trees.