As stated, there should be a metal tag attatched to one of the bolts at the rear of the transfer case. Usually it's folded flat against the case. If not, there may or may not be the type stamped on the case. Mine had it stamped on the case as well as the tag... but my f-150 parts truck only had it on the tag.
You have a BW 1356. It was used behind the PowerStroke turbodiesel in 1-tons, so it can handle a Bronco. The only real problem with them is the pump wears thru the case & spins. If you don't catch it, you can destroy the t-case. Do a few searches & you'll find lots of info about it.