While there is not a backup camera option that is able to be plugged into your vehicle's 7-way connector, however I do have another solution you may be interested in.
Take a look at the:
-Rear View Safety Wireless Hitch Camera # RVS-83112.
This camera is 100 percent wireless, attaches to vehicle via magnetic base on the camera, and is powered by a 9V battery.
Attached is a review video for you to check out for some more information. view full answer...