I have a 2011 Providence and I had the same issue when I wanted to upgrade the bedroom TV. I contacted Fleetwood and they sent me a drawing of the cabinetry where the TV is mounted. I hade to remove the front fascia of the cabinet. First I removed the molding which reviewed screws that allowed the front fascia. The TV is mounted to this fascia. My TV had HDMI run from the TV to the upper cabinet where the DVD or receiver can be mounted.
My midship TV can be removed by loosening a verticals screw that is mounted at the bottom of the TV. Once removed, the TV can be lifted off of the mount.
My installation may be different than yours though. I hope this helps.