Transmission dilemma

But you can convert the long tail to a short with just two parts, the mainshaft and the extension.
And I was able to fit a long-tail into my 68 Barracuda by hacking off the front shifter pad and just fabricating a new adapter to put the shifter where I wanted it.
If you are serious about your car just being a cruiser, then you could, in theory , use the overdrive A833 with it's 3.09 low gear. And you can run just about any rear gear you please. However; I strongly advise to chose a rear gear that will put that 1.67 second gear, at a roadspeed that your short-stroke 340 will actually pull from.
If your 340 has a 340 cam it will not get any better fuel economy at 1800 rpm than at 2200, perhaps not even 2400 will be the sweetspot. The 340 cam was never meant to be a cruiser-cam.
With that in mind, 3.55s will cruise at 70=2440 with 25" tires. So you got that covered.
And 3.09x355=10.97 a fabulous starter gear.
But the cruncher is at 30 mph, which is 2400rpm in second, 4430 in first. If you really are just cruising, then 2400 @30 mph with a 340 cam is not really rapid transit.
And if the car is loaded up with 3 passengers, she might be a lil sluggish.
But it gets worse;
when just cruising around, I like to shift early, at no more than 2800; the pipes are singing sweetly, and my cam has just begun to pull. But with the A833od; shifting into second from 2800 in first, gets you 1500 rpm, and I'll bet your 340 cammed 340, is gonna struggle with that.
So like I say; in theory, you can use that box, but finally pulled mine out, and mothballed it.
What you need, IMO, is an A999 with a hi stall, loc-up, and 2.94s. With 25s this gets you 70=2770 in loc-up. and a starter gear of 2.94x2.74=8.58 which is crap until you put the hi-stall on it, say a 2800, then it will be just fine.
and rpm at 30 mph? Well that would be 1830 in second 3250 in first, which is plenty of rpm for a cruiser and a 2800TC.
But I sure wouldn't run a 340 cam in that thing.
Because that cam does not power peak until maybe 5000 or so rpm....... which, with 2.94s doesn't come until 44 mph in 2.74 first gear. At Part Throttle and below about 2200rpm, that cam is a miserable gas-hog of a cam; and guess what; above^ we saw that 30mph in second gear was 1830rpm. So then, I would want a cam that is more efficient at 1830 rpm. And not care about power at 5000/44mph..
If you want your cake and eat it too, you will need an overdrive AND more than 3 other gears. So that points to a 5-speed manual, or
an overdrive auto with a hi-stall and a loc-up. And for a cruiser, I would NOT use a Mopar 340 cam. If you went down 1 to 1.5 cam sizes,and switched to a faster rate of lift and tightened up the LSa to 110/112, then you might be able to use that Mopar A833od box, with 3.91s. But that smaller cam with it's much earlier Ica might drive your iron-headed 340 into detonation; so it's kindof a balancing act.
Or, on a budget, just slow down on the hiway; 9.5% is about the equivalent of one rear gear from 3.91s on down; skipping 3.73s which is a half gear or about 5%.
In any case; just trying to help.
Happy HotRodding

Thank you for your insight. I learned a lot.
My 340 is a low compression 1973 model left over from my Challenger project. It has the 1.88 intake valves, j heads, and factory cam. It has been rebuilt by the prev. owner to factory specs.
I would be interested to see a picture of your car interior with the shifter location at the rear of the long case A833, between the seats.
Right now because of the "wife imposed financial austerity", I will have to use what I have - the 340 and 727. Don't know if I can find somebody to trade the 727 for a A999 with lockup TC.... it would be nice if I do. I see them in the junkyards at $250 a pop. But may need refreshing - another $100 for a rebuild kit.
Still looking for a 8-1/4 rear end. I see Cherokee units with 3.07 ratio for around $150 at the same yard. plus another $100 to relocate the perches and shock mounts.
Will also need a $300 shifter assembly (Pro-matic2)
And exhaust.
It doesn't look that bad.