There are Svideo to coax connectors that will convert both the audio and video to a standard cable coax which should feed most any TV out there.
http://www.svideo.com/svideocoax.html
You may be able to remove the coax from the TV and just plug this in. If not at the TV end, then at the wall end. If not at the wall end, then unscrew the jack from the wall and connect behind it, just make sure you are feeding the TV and not the rest of the rooms in the hotel
When I was traveling all the time I had a network took kit with me (no, not for hotel TV's, that was just an added bonus), I've cut many cables and put connectors on them before leaving the next day.