Hi Jeremiah,
As a historic home restoration professional, I get this asked a lot. I always recommend no vapor barrier as these do not allow the building to dry to the inside. This may seem like no big deal, but if you didn't detail your windows or roof properly, then it will soon become your worst nightmare.
What you are really after is a way to stop the air from exiting the home into the wall, as this air typically has a higher moisture content than outside air and if temps are lower than the dewpoint, that airborne moisture will condense inside of the wall. If it were me, I would remove all the drywall that is practical, tidy up the insulation and then either add an air barrier/vapor retarder or go with what's called the air tight drywall approach, since drywall with plaster/paint is a vapor retarder/air barrier.
Air tight drywall is easily achieved with a latex-modified gypsum plaster. This sounds expensive, but is the very cheapest finish for the DIY type. For each 5-gal
bucket of all purpose joint compound add 1 gal of latex paint. Make sure to buy the non-toxic varieties of both; I use Proform joint compound which is Greenguard certified and a zero VOC latex paint like Benjamin Moore's. Mix the 2 well and then apply with a 9" roller, troweling smooth before it dries with a Marshalltown plasterer's trowel or similar.
Sand between coats to get that really flat pro look. If you are happy with that cool, but I usually will paint on a lime wash and trowel that wet as well. This gives the wall that old world look that is finally becoming popular. Lime is extremely hygrophilic, so this final layer will actually pull moisture out of the wall assembly and move it to the interior where it can be dissipated.
I've attached a photo of the job we are currently working on that sounds similar to yours. I am using a paper smart retarder that is a little like goretex; cool but expensive.
webpagewebpage
Sorry about the photo, it shows the original exterior doors mounted to a new frame in a wall built inside of the old blown in insulation with lath and plaster wall, insulated with rockwool and sealed with DB+. Hard to tell, I know.