You're definitely on the right track.
If you are comfortable working at the component-level (i.e., soldering, wiring, etc.) your options expands greatly! That is, physically separating the bridge rectifier and large input capacitor provides more mounting options. For example, there is a 1000uF capacitor on the AC-to-DC module which is the tallest component. But options expand if you can mount it, say, sideways.
Your dimensions seem more than adequate but it's funny how when you actually start installing, wiring, and so on the space seems to vanish!