From the looks of this, I'd want to install this before the roof.
The idea of using ridge vent is good also. The space between the 2 fascia boards would be just enough to let in a little air. The obvious disadvantages, two fascias, time involved, weak edge if the outer fascia does not touch the roof deck. The last one can be corrected with a rip, but the time spent is more than double standard fascia installation. The most advantage would come with the ability to mount a gutter to this without worrying about it flooding and getting back into the roof. The drip edge pictured below looks like it could be a moisture problem waiting to happen. This sort of venting would only be worth the trouble where there is no opportunity for soffit venting, as in, no overhang.