If SNESmusic.org rips this whole soundtrack I can post it for you, but until then I just downloaded the game and ripped all the music I could find at the start. This gave me 11 tracks, almost 25 minutes, which I've uploaded for you here (
http://www.multiupload.com/4WUV8PN7U9). I figured something was better than nothing, right?
If you want to play the game and extract the rest yourself, use the zsnes emulator and whenever a new piece of music comes up, press S at the beginning of it. It can be pretty tricky to catch the very start of it though, and this process is a pain in the ass in general, but it'll save an SPC file. If you go to SNESmusic.org you can download a Winamp plugin that's very easy to install and use that will let you play it back. You'll have to tag it and set how long it should play for yourself though. That's what I've done here and converted to MP3 for you.
SPC files are very very small, but are lossless, and there are thousands of games ripped (and timed and tagged) in that format, so it opens up quite a world of music to you by just getting that Winamp plugin. There's also one for foobar2000.