The verdict is in....
As stated earlier, there are 9 of these trees. I have calculated that it will take 3 or 4 of them (depending on the quality of the inner heartwood) to build the parts of the structure that need to be of oak. These leaves 5 or 6 whole trees for other purposes. The roof structure will not be made of oak.
With this in mind, the building will have an oak shake roof and riven oak siding, which will leave a significant amount of timber for other uses.