4sp A833
The B & E body tranny has the shifter placement further back than the A bodies. I do think there is an adapter plate for placeing the shifter a bit more foward to work with an A body.
I'd look for a A body bell housing though I think most will fit right on without issue. I'm not just a 100% sure on that though.
A OE replacement flywheel should be fine. I do still beileve MoPar has them available for both the 360 and 340/318's.
The use of as many OE parts will make this easy. The shifter is still available and upgraded units should bolt in without issue. Unless you go exotic.
Sorry, I can not be of more help since I have not a conversion myself.