"The TV we have is a new Digital TV with the over the air/cable/internet/DVD capabilities,..."
Considering you are getting stations on a different television, I don't think there is anything wrong with the camper antenna or the wire. The problem (I think) is... you are scanning your stations on the old VHF-UHF stations and not the new Digital Stations (the "dash" channels ... 8-1 / 8-2 / 8-3 etc.). You are only capturing the old analog stations. You need to scan both analog and digital.
If you have a picture with snow or fuzz, it's analogue, not digital. If it's a digital station, you will either have a clear picture, pixil freeze, or nothing -- black screen.
Try rescanning. I bet this is all your problem.
You can also try taking the same television inside your house and see if it is scanning right too.