One of our bedrooms and one of our bathrooms are built over our (uninsulated) garage, and are quite cold in the winter. Today, I cut a hole in the garage ceiling and poked my head up there to see what's going on. As it turns out, there's a surprisingly large space there (see attached picture. The ceiling of the garage is framed with 2x4's 24" on center, and the floor joists for the bathroom are 2x10's 16" OC. The bottoms of the floor joists are a full 14" above the 2x4's that make up the garage ceiling, and all the plumbing and ductwork goes through this space. The builder put R-30 kraft-faced fiberglass batts on top of the garage ceiling, as well as around the perimeter. They also cut a 4" hole in the side of one of the ducts, so that it partially exhausts into this space. The air coming out of one of the ducts (not the one with the hole) is not as warm as I think it should be, which is probably contributing to the bedroom being cold.
Would it be worth it to blow in additional cellulose on top of the batt insulation? I'd make sure to not cover the plumbing, so there would be no danger of pipes freezing. Given the existing R-30, though, I'm wondering if I'd be better served by paying attention to the attic insulation. The kraft facing is anything but continuous, so i'm not convinced there would be a moisture problem if I covered it in additional insulation.
Any advice?