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Although the SC beta server is down, it may still be possible to play. We would require a private b.net server, which is really not a big problem nowdays when there are loads of private servers. And we would need a launcher that would launch the SC beta so it connect to our server instead of real b.net. This way we would have our own SC beta B.net where we could play SC beta with each other. It's still a theory though.
Launcher? Phah! Just edit battle.snp at the right offset and change what IP it wants to connect to.
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The above link is were you can download it but rename the bigger file with .mpq on it.
What big file? DEC24D.mdf? That isn't an MPQ, and thus you won't be able to load any beta files from it. By the way, whoever the heck made the image into this format? I know for pretty sure it was .iso originally.
I'm not sure exactly what you're trying to do... Make the beta playable? Then read the link Voy posted.