You can get a Scart to AV adapter - widely available at most Hi-Fi / Radio Shack type stores :
but you wouldn't be able to use the Co-ax cable as you need more than the single core and outer braiding of that type of cable.
If you could replace the Co-ax with some Phono AV cables ( maybe use the co-ax to try and pull it through under the floor ? )
and you had a TV card in your PC with corresponding inputs, you could use one of these adapters.
You would need 3 phono cables ( 1 for video and other two for stereo sound ).
Sorry - Don't know of a wireless solution.