Hello Matt!
I have had the best luck with storing them in the ground. I know it sounds crazy but they seem to tolerate the 0 degrees of eastern WA just fine. Even with no mulch they have shown no signs of frost damage. They are crisp, fresh and perfect.
If you are worried about predation from winter active rodentia, or you just want to harvest now in the fall, you can mimic leaving them in the ground by burying a barrel and filling it with dirt and your
root crop harvest.
We have a poor man's root cellar. I dug three holes that each fit a food grade plastic 45 gallon barrel. The tops are flush with the earth and have a plywood cover. I drilled holes in the barrels to have some ventilation and drainage.
I just layer all my root crops in the barrels with earth between them. They keep great, all winter and into the spring.
They will also do well in the fridge in a bag of dirt.