If I was not able to see the fasteners that hold it together, I might first start with a look at the parts catalog to see how it breaks down.
This is the drawing group for that model and year but you need to scroll/move down to about page 85 in the cabinet group to get to the rear TV area. I think that is correct for your RV but do check that for being totally right as things do change frequently and it can depend on whether you got an early year build or later.
https://www.winnebago.com/Files/File...05/5wkp36g.pdf
Hint on using this is that you can move your curser to near the top of the screen to bring down the page numbers and type in the page you want as a way to avoid an hour of scrolling to get there!!
For a remounting, it looks like I would want a monitor mount that let me pull it out and swivel for best view???
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Richard
Why no RV year, make and floorplan on MY signature as we suggest for others?
I currently DO NOT have one!