Always good to see new ideas and folks thinking outside the box.
Is this "possible", sure, everything is with enough money and knowledge.
Is it practical, that is up to the individual doing it. My opinion, not in the least. I think you would be time and money ahead to just swap the motor with the tranny if you really want that 6th gear. I honestly think it would be cheaper that way then just the tranny.
As for adapting a TX-10 to a Next Gen tranny, several have looked into it, and come to the conclusion that the cost outweighs the benefit, by A LOT. I'm not talking one-off's with this one either. If someone could effectively make a kit to swap the two, think of the market for it.....and that still wasn't enough to justify it.
Now, there are folks looking into crawler gears for the next gens, so gearing might just be available by the time you swap everything, so keeping the T-case isn't as bad then.
So that's a plus.
Good luck, and keep on thinking outside the box.
Cheers,
JP