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I have a small bathroom with exterior walls in an area of my home with a vaulted ceiling (and thus no attic access.) When I moved in, the exhaust fan was uselessly “exhausting” directly into a fiberglass batt.

I’m hesitant to cut a hole in my roof to exhaust the fan properly, but if I go a few more feet I think I can access the soffit area and place a vent there. What I’m not familiar with is whether or not I can expect some kind of obstruction between the roof joists over the exterior wall.

This is a rough sketch of what I intend to do – however, before I go yanking the existing insulation out from between my rafters to make room for the flex duct, can anyone tell me if this makes sense? Should I be able to snake a flex duct between the rafters and into the void between the soffit and overhang?