Welcome to the forums. I know this subject has been discussed here in the past. You may find it if you search for it, but the search function isn't always great. Plus, sometimes it pulls up so many threads that you would be reading all day.
There is not total agreement on this. The A/S heaters are designed so that ducted heat keeps plumbing from freezing in most cases. In order for this to work while travelling, you would have to leave the heater and propane on. I'm not personally comfortable with that, I turn my propane off while travelling. Others say that I (and others like me) worry too much, that they do it all the time, no problems. That will be up to you, and YOUR comfort level. If you are in truly cold country, that may be the only way of keeping things from freezing.
Others will chime in, probably tomorrow. The activity on the forum slows way down this time of night.
Good luck, good to have you here.