Today the second TTE550 was hooked up and the engine put back into the car.
I’m finding a suggestion to install the axles while the engine is a couple of inches above the mounts, and the transmission brackets a few inches above the tranny mounts, to be a good one. Turning the wheel fully left or right depending upon the side being worked, allows the axle to go in, and with the engine hanging from the hoist there’s enough freeplay to push it slightly if needed. This sped up the process of reinstalling the engine substantially.