I want these facings to be pretty strong, so I was planning on screwing AND gluing. But if you feel the glue would be enough, that would solve my problem, obviously.
I screwed around with my CAD program a bit and this is what I came up with, using a 15 degree pocket hole, 3/8" Kreg drill bit, and using a 2-1/8" edge for the rear of the pocket hole (mentioned in another forum). Looks like a 1-1/4" screw would be WAY too long, but a 3/4" screw might work.
(but I've got a wife who lets me buy any tool I want!)