I don't understand why you would want stagger with a long straight. I don't know why you would want uneven cross if you have left and right turns.
Unless the track is a perfect oval, it has to have a minimum of two turns. Now you can call them, 1 & 2 and 3 & 4, but in most cases there's just two turns. If you add a right-hand turn, you have to add another left hand turn.
An LTO kart could be an advantage in the left-hand turns, if it's set up right, but it will suffer in the right-hand turns. If I was going to do it, I would have equal stagger in the front and the back. I would have equal caster. I would have equal camber. I would get the rear tread width much wider. I would make the kart as much like a Sprint kart as possible.
I think most would agree that, on a Sprint track, a Sprint kart is best.
From the desk of Al Nunley
Comments compliments criticisms and questions always welcome.
If the data does not support the theory, get a new theory. (Al Nunley)