There are some clever and resourceful folks on this forum - including yourself.
Take these few thoughts with a grain of sand.
1) Consider a hole angle that is not perpendicular to the board face - difficult without a drill press, however.
You could also two (or maybe just one slot) about and below the hole and then place two screws
into the side of the board to pinch the camera:
2) I've seen commemorative baseball holders constructed this way. Simple construction. Drill hole, cut slots with jig saw. You
can change the angle slightly by cutting the "ears" (the purple colored areas) asymmetrically. Maybe this will give you some ideas:
3) Don't laugh, but I've made Bondo casts for oddball jobs like this. Consider casting an insert made with Bondo or silicone. You could fill a
cut-out in the board or take a rectangular Tupperware container and fill it with Bondo. Stretch a condom over a correct size ball so the Bondo does
not stick to the ball. When it dries, trim as much as the Bondo as you need to remove the ball. Bondo is incredibly easy to machine.
Great thread, btw, and awesome project!