Here are some pictures from my installation:
I chose not to carve out a channel in the side of the box for the power connector, and you can see how it overlaps the outlet. I could have done it differently, but wanted to make sure that my enclosure would remain watertight.
The power supply is right at 2" deep (the picture has a bit of an angle to it because it was an awkward position), the interior depth of the box is about an inch, and the depth of the lid at the edge is a little less than an inch. I suspect that I have the same power supply as mjdport based on the picture, so it’s possible that it would just fit in there. It didn’t fit when I tried it, but I abandoned the attempt when I realized that I had to cover up the outlet, anyway.
Luckily, the power supply fits perfectly in the existing enclosed outlet, so I just ran the cord up into the box. I left the rest of the wiring in case I switch out the box at some point.
The more I look at my pictures, the more annoyed I am that the Rachio isn’t installed square in the box ;( Not worth fixing, though.