I have a 2006 Mallard CK180 trailer and would like to install a TV antenna. It has a coax cable terminal on the roof and a coax terminal mounted on the ceiling above the TV shelve with a built in amp ...
Given your objectives a Winegard Roadstar 2000 Omni directional. You will need to drill some mounting holes, but not through the roof. I have seen some people in trailers mount an antenna on a multi-section pole which they attach to the side of the trailer once they get settled.