S video/conversion etc.
You could try what you have mentioned but you still may have issues. You didn't say what your TV has for hook ups, S video, VGA composite, etc. Also video aside, what about audio? Neither S Vid nor VGA carry audio. Some use a ROKU set up for similar purposes(with the internet) but it sounds unlikely that your TV is capable of doing such. The best hook up would require a total uprgrade of both L/T and TV utilizing HDMI hook ups that carry both audio and video signals, again a pretty heavy upgrade from what you are attempting to use.