I beat the game, and doing so earns you the Music option on your smartphone for the second playthrough. So I recorded every song from there.
I realize this isn't the complete soundtrack, as the game's ambient music would be another task to do. Maybe I'll do it sometime using Chapter Select? The fact that you can disable sound effects and voice and use only music is very helpful for recording the game's soundtrack.
Either way, I would gladly accept someone else recording the soundtrack and uploading it for me. I mean, no-one else did that to Snipperclips, so I had to do it. I normally don't bother recording game soundtracks because so many other people beat me to it anyway, but apparently, not here. Guess this game is just too obscure. :(