We are missing some info to look at exactly which build of the 2014 but I am assuming it is one of the Sunova and they may be quite the same for the TV mounting, so will pass along some drawings from this "parts catalog" found here:
https://catalog3d.winnebagoind.com/menu/Parts.htm
Picture one is of what I think your RV has? Verify that before trusting the rest!
But if that is the correct RV and TV mount, turning the drawing around shows it mounted first to a plate with looks like six screws holding it to the wall, etc.
But looking closer, I think I see "bracket" of sorts with hooks at the bottom and an angled piece at the top?
My guess might be that the top may be to remove at the question mark to tilt forward and then lift up and off the bottom hooks?
Or it may be that you can find the two screws mentioned if you know where to feel for them at the bottom question mark? Is there room to slide a mirror in under to get a better look at the backside? Perhaps even find where the cord has dropped out and enough space to reinsert the plug!!
Any chance the noise is from vents along the bottom side of the side windows where there should be small plastic covers clipped over the horizontal drip vents and when those come out, it makes a real whine?
Good luck on the chase!