I finally finished moving my backup camera. Many thanks to @Robert.Mauro for his advice.
Here is my reverse view before:
I didn’t want to drill holes in the bumper, so I decided to add the camera to the retractable eye cover:
I wanted the option to go back to the OEM camera, so I installed a three-way, On-Off-On switch:
Here’s how it looks now:
In case you are wondering where I ran the cam wire on the inside, the left rear cover, there is a 1 inch hole, it is a few inches behind the left sticker mount.
I also touched the camera feed from the camera dongle behind the license plate area.