house wraps on a pole barn

I have done the home work and looks like if I decide to install the wrap, Tyvek is the only game in town. It is NOT cheap, and I am certain it is WAY overpriced but....whatev.

This brings me to my next question of thoughts on it's use in the first place. I am trying to obtain an air barrier and a vapor guard with perm rating here. This is a pole barn build. Basically will be the corrugated metal sheeting, then Tyvek, then glass batts in the stud spaces, then a poly facing with vapor barrier that is typically applied over batts in buildings, which is the interior finish.

I mean, technically i might be able to get a decent air barrier out of the metal panels but I sort of want something over the insulation on the outside to ensure minimal air migration, and protect against possible water droplets and dirt.

Around here, it is uncommon to use a wrap between frame and sheeting but that seems to go back to the "we have always done it this way".

Glass cannot perform on spec if BOTH sides of the stud space are not properly sealed. I intend to double lap fold the Tyvek, cap nail, and tape.

I guess for the price and hassle in install, I want to be sure I am making a wise decision here.