Yes it can be done. even with out the "S" video , Text will be hard on the eyes but game play is fine.
I can not get a 19" S video TV yet ether. I have done what you are talking about with a 13" Atari monitor (old 8bit stuff I have laying around) also I did it to a 13" comadore monitor (they were old work horses!!!)
also I have played my PC on a newer 27" TV all with out S video.
to get the juice out of the tube take a large flat screw driver and a thick electric cord. strip both ends of the wire. electric tape one end to the metal of the screw driver. ( I also tape the handle for piece of mind) ether put a clip or bolt the other end of the wire to the metal frame of the TV tube.
now locate a large suction cup that is going into the tube. under it is 2 silver wires . touch the screw driver on both of these silver wires. be ready for a BANG! this is normal. but it will scare the hell out of you if your not ready for it.
some times a small bang some times a large one.
I have heard some times this must be done a few times. to get all the juice out. I have never had more than one bang.
One last thing. have help because it will be to heavy to hold and mount into place by your self. My wife had a cow when she had to help. cost me a chines diner to get her to help.