I am assuming this whole area has a cathedral ceiling. The way I would deal with this is after you get all the structural problems dealt with on the 2*8 roof deck, leave a few inch gap, and actually frame a second "ceiling" using 2*6 or similar joists. It wouldn't have to be much, because it would only be holding the ceiling, not any of the roof load. Then you can put Foam boards in that gap area or fiberglass batts "sideways" in the area between the boards. Then, you get an extra R-19 from the lower ceiling joists. Basically you trade the strapping for a new place to add insulation. I hope the picture helps to explain what I mean. You will lose a few more inches of head height, but that shouldn't matter on a cathedral ceiling.
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