I'm not sure how different the two are, but I just did this on my Bronco with an NP208. Got a transfer case from an F-150. It wasn't too difficult.
Took the bolts holding the covers for the tailshaft off.
After I took the bolts holding the two halves of the casing out, the cover came right off. Had to pry just a little bit because of the silicone.
Once the case was open, this C clip is the ONLY thing holding everything in.
Once that was removed...
The gear and tailshaft came right out. The chain is off in this picture, but you lift both gears at the same time with the chain on them.
When swapping the other tailshaft in, just be sure all the internals are lined up. There are a few things that can shift around.
Just reverse to install. Clean up the silicone, put a fresh new layer on, and bolt it back together.
I'm sure it's rather similar for the BW.