If the system is wireless, front-back wiring is a non-issue. If it's wired, I would suggest dropping the headliner and using that pathway. I'm not sure if there is room enough for another wire or two in the rubber hose running from the body to the liftgate, but that'd be your path in if it's one of those you mount on the license plate mounts or something.
Pin 13 (pink wire) running to the mirror. That's +12V fused from IGN E (Fuse 22 Underhood, 10A). That means it's full-time hot. Pin 8 (black) is your ground. This is under the auto day/night mirror diagram, not sure if these are present without that option. If they are, hopefully you have Pin 9 (light green) wire, too. Voltage is supplied to this pin when the vehicle is in reverse, this could be your ticket for automatic on/off.
If your RPO code list in the glove box has DD7, you DEFINITELY have all three of these wires. If not, look at the connector. If you don't have the Pin 9 wire, you will have to rig up a switch or find another way to auto-engage, as it's doubtful you could just tap into the pin used on the BCM for this (a bunch of other things which would be upgrading from the low-end OEM to high-end OEM, like fog lights, also requires a BCM flash).