I am in Cleveland, Ohio and the second floor of my house has full ceilings in all of the bedrooms and bath but there are walk-in closets that line the sides. These closets have a 96" inner wall and an outer wall that is comprised of a 57" lower wall and a 50" upper angled wall. I have blown-in cellulose in the 57" lower walls and there is the equivalent of R-38 in the second floor ceilings/attic floor. There is no insulation whatsoever in the 50" upper angled walls. Therefore, this time of year the closets are freezing cold.
The reason that I have not yet addressed this is because I am unsure if and how these upper angled walls should be vented. There are no soffit vents and I don't see any practical way to vent them because there is no overhang at the edge of the roofline. The inside surface is finished (wood lathe/plaster) and the roof is 1x planks with a couple of layers of asphalt shingles on top.
Can I insulate either with spray foam (closed cell or open?) and disregard venting? Or, should I install baffles against the roof surface and slide batts between the baffles and wood lathe? Either should be reasonably possible without any demo because I can see right down the cavity to the gutter line from up in the attic.