Streaming Audio Suggestions?

I'm trying to set up an audio stream from saxypunch.com, mostly to play the music from SAUS. I've spent a couple days looking for solutions but so far everything either requires the end user to download a client or else just spits out a playlist of the files when I would rather it act like an actual radio station (ie, you'll listen to whatever's playing and like it).

Are there any good ways to do this without having to have some DJ program running on my PC nonstop?

You could try setting up a Shoutcast server through Winamp. Way back many ages ago when I used to do radio for #gfchat that's what I used.