How can I mount a Ring Pro on this door post?

Question

My wife has had her heart set on getting a Ring Pro video doorbell since someone at work demonstrated theirs. We picked one up from Lowes today, but discovered we had an issue when we got home and looked at installing it.

Somehow, we'd missed that the doorbell is set into the post at a perpendicular angle. The people with Ring Pro support are sending a bracket, but I don't think the result will be able to be mounted without blocking the screen door. I can't find any handy spot where the post is fastened into the door frame such that we might drill holes to reroute the wires.

It kind of looks like there's some amount of separation, but I haven't found any nails or screws. Is there any advice on how I might get this doorbell hung?

The inside of the post does not appear to be hollow:

Answer 1

Almost two years later, I realized that I never came to an answer here. The kit that Ring provided consisted of angle wedges to turn the doorbell to better focus on the area in front of the door, which did not help me, as it even more blocked the door. What I wound up doing is drilling an additional hole into the front of the post to run wires through, bought some more bell wire, and spliced additional length to the front, where I mounted the doorbell. My primary method string the wire involved using a more stiff wire to initially poke from the side to the front, and then attaching the bell wire to that to pull it through. The only issue I've faced is that I had to seal off the hole to the side to prevent humidity from affecting the bell's operation.