Well I just solved one mystery at least. The LED strip is powered from the living room light circuit. So no just pulling the fuse, unless I want no ceiling lights in the living room.
Also, I got up on a ladder to look for the strip connection. Found it, and it's just a crappy little plastic connector like for a computer fan. No weatherproofing, and there's corrosion on the pins & connector contacts.
On the plus side, I now see the wires don't enter the coach sidewall up above like I thought - rather they go down inside the awning mount and probably go in where the main awning wiring goes.
So I disconnected the LED strip, wire-tied the wiring to the upper awning mounting bracket so it doesn't disappear down inside the mounting arm, and I'll worry about it after the weekend trip. Still curious if anyone has a picture of the control box. But at least the lights are off now, and I know where the wires *really* go so I can trace stuff down.