4sp A833

I have a 4sp from a B body. I would like to put it into my A body Swinger (73 W/A 318 ). It had an auto 727. I am planning on running a SB Mopar. What bellhousing should I look for or are they the same. Will any Mopar 4 speed fit? Is there a Certain type of flywheel that wors better than others? What sort of issues will I be looking at? I was thinking about using OE pedals and an aftermarket floor shifter. Has anyone done this type of conversion?
Brian