Nicole, I once too thought there was absolutely no clay to be found where I was living until one day I stumbled upon some soil that was 'different' to me. The shake and worm test lead to a brick test which confirmed I had finally found clay soil amongst all the sand, silt and rock that was everywhere else. Perhaps it just a matter of looking deeper? - pun intended (clay can often be below a few feet or the surface)
Definition of loam:
https://en.wikipedia.org/wiki/Loam
So technically, if you have the correct type of loam, you no longer need to long for making your own creations out of a "natural concrete", you may already have clay and not know it - Perhaps even what is known as "ready mix".
As far as not having much info on building with this material, I would have to disagree....there is tonnes of info just on permies alone.
There is also Rammed earth, Earth bag, Earthship, Plasters, clay paints etc.....
Hope this helps