As Cat says, they are like our White Oaks and require cold stratification, but their is no reason to try to cold stratify them yourself. Nature does a better job. The only reason I know of to cold stratify nuts yourself is so that you can start them under lights indoors with root pruning containers in the winter and give them a jump on the growing season. For direct seeding like you describe, you will be better off doing it now and letting nature cold stratify them.
One note on Sawtooth. They are a great addition from a feeding deer perspective. They produce more reliably and at a younger age. For hunting attraction, I found some issues. The ones I planted produced lots of nuts that fell in early September before other trees and were gone before our October archery season. I understand that there are different strains of sawtooth oaks and that some strains hold nuts into November. Just make sure the nuts you have will drop when you need them to.
Thanks,
Jack