I just looked at the site on Bing Maps. If the square building is the original building, it looks like both towers are not the original.
That makes no sense economically, I know.
I recall the original tower being very close to the building. The tower was just outside the left hallway rear door. Coax left the building from the right hallway rear, curved up onto the roof, then hung in the air out to the tower.
I think the width dimension of the original building determined the size of the fence around the tower. This was a cost effective build, no reason for the tower to be so far away that the building could not be part of the fence. That is why I think the tower was built to 300 feet, since it was the maximum HAAT for the Class at the time. I doubt going higher for better coverage was a consideration.
Then again, it has been 32 years since I have walked on the property.