I do not have the ease in "engineer talk" to build this simplified model you seek. "Steady state" is a misnomer, as any moving vehicle has loads and forces, on every part of that vehicle once in motion, that is transferring weight between the wheels by the milli-second. There is always deceleration and acceleration. All I have is common sense and logic, having worked on these cars for decades, as you have.
If you need engineering mumble jumble to study, I believe the most similar application is a trike with the single wheel on the rear. Perhaps there are papers studying the Morgan or Can Am Ryker. I believe most or much of the theory would transfer.