A833 Tail shaft

Several members here on Fabo have done this and are NOT unhappy with the od behind the 340.
I have run it behind my 11/1 360 with 3.55s, and was NOT happy at all, and eventually swapped it out.
The ratios are 3.09-1.67-1.00-.73od and
the splits are .54-.60-.73 These are about the widest ratios Mopar ever put into a passenger car trans. This trans is a low-rpm trans with a powerband requirement that is very wide, especially so from First to Second.
With 3.91s you can get away with it, but First gear is really low. I guarantee you that it will NOT be happy with any cam bigger than the factory 114LSA 340 cam, which actually has a very wide altho stunted powerband...... as compared to just about any other cam you might consider to put in a street-340.
Yes, in your case; and if you already had it or could get one cheap, I would try it.

I am more than a little amused, having run them with small cu in motors, and loving them. I know you are running a 360 and 8 speeds. Driving on the street in one of my cars, the O/D is not a low rpm trans since both little engines will easily rev past 6,000 rpm smooth as silk. The splits do seem too wide to me, but I can't remember the rpm drop at the shifts. However, like my engines they are not stock or slapped together. But they look stock.