You can use Cat5e/cat6 s-video female jacks. 35' is not an issue for these, you just puch down the cat5 to the jack and plug a s-video cable in both ends. one to the TV and one to the PC.
edit: I read your post sorta to fast. But you can also use adapters from radio shack to convert coax (RG6 and 5) to RCA leads for audio. Then use a 1/8th in jack to stereo RCA ( also from radio shack) for the audio. that is if you mean COAX as in the kind you use to hook cable TV to the TV set. If you mean RCA Type COAX (type you would use to plug in a camcorder to your TV etc. usually yellow,red,& white. Not saying you are a noob at this , just making sure I am helping as much as I can before my wife beats me for being on the PC to long
), then you would need the adapter that should have came with the card to convert "S-Video to RCA" for video then use the audio out from the PC using the "1/8 in stereo to RCA stereo" converter cable, might be known as a "Y" cable as well.