without knowing the undrained shear strength, the consolidation characteristics and other engineering properties of the clay, who knows. . .
If the foundation is 12 ft deep, who cares if the clay shows shrink-swell behavoir. There will be such little moisture variation at that depth that the chance of swell pressures developing is moot. I'd think there'd be a real opportunity to use conventional spread footings if the clay has supporting strength. Then again, we don't know.
Regarding the calcareous bedrock, I'd be looking at regional geology and landforms too. Is this an area of sinkholes or dissolution features that could surprise the owner? I'd also be interested in knowing whether there is an "enhanced weathered zone" where the residuum (clay) at the bedrock interface is much softer.
I've designed many foundations on clay. Heck, in Richmond, Virginia our tallest buildings are on cassions that bear on a sensitive marine clay. So, we just can't blame "clay." So, it's time to do real geotechnical engineering, look at the strength, look at the geology, look at the risks, screen options and make an informed decision in concert with the owner.
Otherwise, it's piles to bedrock!
f-d
¡papá gordo ain’t no madre flaca!