2.66 low gear vs close ratio

So all you need, is to be ready at 35mph and to be done at 65. That's exactly one gear if you engineer it right. If you put a shift in there, it can cost you .2 of a second.
This idea is a possible fault with your analysis; I can show you lots of turns around here where 15-30 mph is the min speed for someone really driving hard and a 3.09 is just a bad idea; there will be a dead zone where 1st is too high and 2nd is too low, or you have to extend the torque band down more (which is not a bad idea). Then there are high speed corners I'd take at well over 70 mph. (Even in my RAM CTD! If I did not chicken out... LOL) I am going to guess that in southern Manitoba, where your roam around, the roads are quite a bit different than here in the Appalachians.

And you may be forgetting that with torque steering at the rear, with the gas, some minor tire slippage is intended and necessary to get the rear tires to an increased slip angle to aid in oversteer with the throttle. On dirt and gravel, actual tire spin in a necessity to do this. SO the assumption of no slippage is not always true.

3 speeds are not used for road racing for a good reason. I would not even dream of trying one around here for some true horsing around on the back roads. If this is for tall tires, change the rear gear.