Kind of tough to be helpful at this point as my heart is not as in it as before but here goes.
In the context of our tiny trailers a 32" TV is just silly in general.
So looking back at your initial post here I thought you were being sarcastic!
I do want to know where you think a TV that size can go in a 16' Scamp
Since you are in such command of personal space while working and know that you can work with a 24" monitor 2' from your face simple physics seems to dictate placing a 24" monitor 2' from your face in a 16' Scamp
and calling it a day!
A lot of us have done this and have been sharing the experience so you can see just how.
Since you have yet to travel in your 13' space maybe it would be helpful to wait until you do and then decide if you still find a set that large is merited.
Then maybe share with us exactly which monitor you are looking to mount and look for specific help as that seems to be your need.
I am also sure you know that the bigger the set the higher the native resolution is required if you are going to get more actual information on the screen. Most sets over 24" seem to have the same or lower resolution as a computer monitor than the smaller sets and this yields a much blockier looking pixel density and the spacing makes the output less clear not more.
I have a hard time explaining to customers that it is not a given that the bigger screens will look that great as a computer monitor.
I suggest a Mac for those who need the extra size and will use it a short distance as their font scaling and smoothing make watching at bigger sizes easier in general.
I have a Mac Mini mounted in my Casita
and run the output to multiple monitors in there to do exactly what you describe. I have big drives filled with content as it can be hard to receive broadcast TV while camping.
I also Remote in on VPN connections while camping to service systems and need to be able to monitor many different resolutions at the other end and this is often hard to do with too high resolution a monitor which is why I carry a few options for them.
If you do remain determined to go huge in an Egg then as I suggested earlier as long as the mount to the TV is sound and the set can ride with the trailers vibration I think it will be fine.
Again I need to know where you think it can fit before being more specific about any details of a mount?
I might also build the set into a slim enclosure that can be set down on the counter or table or even hung from above while parked but then be stowed safely while in transit,this way you can protect the display while still having quick setup if the cabling is right.
Peerless and Chief and Bretford,etc. all make shock absorbing mounting hardware but mostly it is for much bigger displays and for an environment subject to predictable vibration or seismic activity.
But most of all,if you intend to come in here and ask for help and choose not to be as specific as possible with an out of the ordinary issue you certainly have no room to be nasty about things if you don't get "Focused" enough answers from us.
If you had explained from the start the exact nature of your question so that we could understand the unusual specifics that you went to such length to spring on us later I am sure this would have turned out differently.
Hope this is helpful?