Using it for soil stabilization is common in TX and OK and not much elsewhere from what I've seen. Highly dependent on the chemical composition of the clay you're dealing with, as far as I can tell. It wouldn't be my first choice given your area, and at that price, I'd compare to portland cement price really hard.
Another fun fact about quicklime, firefighting and hazmat training books will often mention "powdered lime" or "lime dust" in context that it's obviously a holdover from quicklime being more common, but they never specify which "lime" and the instructors sure don't have a clue. Kind of like "oily rags", yes, motor oil soaked rags could theoretically spontaneously combust, but rags used to wipe varnish, or clean up oil finishes WILL spontaneously combust quite predictably, but everybody is freaked out about oily rags because they don't know the difference.