I guess I will just have to try a pair of tires and see what happens.
That statement right there may well be the most logical and practical one ever written.
With a custom set up like yours, you have too many unknown variables to deal with to try to figure it out on paper.
Examples:
Stall speed of the torque converter.
Gear ratios of each transmission gears.
Camshaft profile.
I believe you figured out the best plan.
Carl