Hi there and welcome to Just Answer. Thanks for asking your question. I'm sorry to hear about your TV.
I had one of those! Astrosmash rules!
Now, mine was a UK model so exactly what do you have coming out the back of yours for connection to the TV because there were several different versions. Please be detailed - number of wires, connections etc.
Ok, so you have this wire for connection to the TV?
If that is the case, you need one of these $2 devices: http://electricquarter.com/classic-videogame-cable-adapter-p-45.html?osCsid=4712d83e589c6bbd33c37a7e23bbf429
I don't see why not. That should work.