Always tricky to figure out how somebody else wired it in. I would bet the camera power wire is connected to a backup light. And the easiest fix would be to run that wire down to the hitch wiring power wire. A nicer fix would have a pair of wires running from the back to the driver seat area so power can be switched on/off from there. Worth checking the cable from the camera to the display - it likely has a wire supplying the monitor power. Likely you could just disconnect the camera from the backup light and instead supply power to the camera-monitor power wire from some source at the under dash fuse box via a switch.