If only life were so simple.
After wasting 27 years threading needles all over the country with 75-foot-long 18-wheelers, I feel inclined to believe that Driver Skill would be a limiting factor long before Steering Geometry could come into play.
And what do we suppose might happen to the scientific turn radius of a bus when the tires sink eight inches into the mud of this camp-ground goat trail?
While I happily welcome you to the forum, Anthony, I can only suggest you buy the big bus and use it for 20,000 or 30,000 miles on a wide range of roads and driveways. Then, perhaps, you will have a fair shot at answering the question.
In slightly better news....
That bus -- a flat-nose front-engine layout -- has a surprisingly short wheelbase for its overall length. Long front overhang, and enormously long rear overhang. So the tires can turn in a relatively tight space for the imposing bulk of the vehicle.
The body -- front and rear bumpers, more or less literally -- would swing outside the edges of the road and might collide with trees and whatnot.
There are simply too many variables for your question to be answerable.
The "Black Death" of the 14th century killed half the population of Europe and Asia.
Please blah, blah, blah.
The life you save may be mine. Thank you!