Antennas work fine for local station, but only IF there are local stations, and only within range of the broadcast tower. I've been gone from the NY Hudson Valley for many a year, but as I recall the Catskills fail on both counts. Few or no nearby stations and mountains between you and wherever those few are. I suspect you are out of luck for broadcast TV on any antenna you can mount on an RV. What about streaming - can you manage any internet service? E.g. cellular?
Typical mountain area campgrounds are nestled in a valley, while any tv signal skips along the tops of the ridges.