The frame in your FunFinder should be aluminum. I believe, if my old memory serves me correctly, that by '08, the FunFinder line had completed the conversion to all aluminum framing. As was mentioned above, the bad thing, wood or aluminum, is that the framing is narrow.
In most instances, where mounting a television is "factory", the factory installs a bridging blocker panel between two studs and behind the luan used for the wall surface. That blocker is thick enough to take the number of screws necessary for the mounting plate (6-12 depending on the design and the weight of the television) and is supported by the two studs.
While the area that you want to hang your television from wasn't designed for it (no blocker behind the wall), you can achieve the same result if you are reasonably handy with woodworking. Instead of the blocker hidden behind the wall, you could (I've done it) make a decorative "blocker" designed to be mounted on the wall. It needs to be a hardwood, long enough to span two studs with about an inch over on each side. The height should be ~4" higher on each side of the bracket you are using (this prevents stress fracturing of the edges and reduces some of the leverage loading). If you have the tools, you can even route the edges decoratively, or, if you don't have a router, you can buy molding to make a "frame" around the edges. Depending on your skill level, you can make it as simple as a plain flat board, or with the proper tools, a work of art.
Mount the board to both studs with 3-6 screws on each side (aim for 2" separation between screws, you'll want at least 3 on each side, preferably 4 or more...). If you are sure of your position, i.e., you don't think you'll ever want to move it, you can even "reinforce" the mounting with some construction adhesive between your board and the wall for added stability. Once you have the board mounted, if you countersunk the screw holes, you can fill with wood putty and then sand it smooth and stain/paint the wood to closely match the interior decor of your trailer.
Once that is done, you'll have a perfectly adequate, both in strength and visual appeal, surface to mount your flat panel television brackets onto. You won't need to take it down for travel...it is, in essence, mounted the same as the factory does it and there are many thousands of us traveling daily with wall mounted televisions without giving them a second thought.
The above is what I did to install a 22" Vizio flat panel LED television on a MORyde dual flex wall system in my 2008 FunFinder 210WBS. Had almost 50,000 miles on it when I traded it in and around 40,000 of them was with the television mounted to the wall and never taken down.
It can be done, and can be done virtually the same as the factory would do it, but, is a little more complicated than just screwing the bracket to the wall and hitting the road