Why the need for such big overhang? Why not just cover the vents with metal flashing/drip edge?
I honestly don't know if Seattle rain always comes straight down, but I would guess you have days when it blows sideways somewhat. I have an open air coop, which is like a covered run with roosts and nest boxes, and I am noticing with this month's rain that the runoff is splashing back into the run after hitting the ground. My coop/run is too small for gutters to be practical, so I'd like longer roof overhangs and will probably rebuild this spring.you want to be protected against wind-blown rain and snow.
For larger coops, leaving soffits open is the standard way to get ventilation up high where it is needed. Having long overhangs is just a no-brainer way of protecting it, you justly leave the rafters long when building.
The type of gable vent Dick posted would likely be too small to be anything but supplemental ventilation, with the soffits doing most of the work. Aart has some good pics of soffit ventilation and can explain it well.