Nhcouple, Since you are getting snow on the monitor, maybe there is a simpler solution, Snow on the monitor usually means it is getting no signal, but the monitor itself is working.
You may want to try disconnecting, inspecting and reconnecting all the connections from the monitor to the camera. You can temporarily replace a cable that you suspect to make sure it is bad before taking the time to run it properly through the coach. Also, check the power to the camera (there should be some kind of 12V feed, try to check it at the camera end to make sure it is getting power).
I have successfully used an old 5" B/W DC powered TV as a backup monitor as Good man suggested. The TV had a lighter plug adapter so it powered from the lighter socket in the coach. The backup camera was a $30 Harbor Freight security camera, it already had the RCA plug the TV needed. I needed to reverse the TV's horizontal deflector coil wires to see the image reversed but I believe a real backup camera displays a reversed image properly on a normal monitor.
If you do go the laptop connection route, you will have to find an adapter that converts whatever type connector the camera has to an RCA plug and make sure your laptop has video capture capability (or buy a
USB adapter card), then hope DriVer IS barking up the wrong tree

.
Good Luck!
Stewart