Never mind. A friend from GF was able to find it. Thanks for the leeway Mogman!
Mnemosyne says a guy named Kostaki ripped it and he says that it sounds damn near good!
Here's the link!
http://www.sendspace.com/file/vpgmzk
Included in this pack is the following:
Title Screen
Introduction Sequence
Operation DS Mix
Derek Stiles' Theme (Overworld Map)
Nozomi Weaver's Theme (Overworld Map 2)
Operation Start
Despair Theme
Emergency
Sigh of Relief
Thank you Mnemo! And thank you Kostaki! If you're here! Much love! :-*
The link above expired, but here's another collection of Trauma Center songs. The following 2 are the same collection, just 2 different servers for your convenience (some people have trouble with sendspace apparently). Thanks Black_Knight and Haoran:
http://www.sendspace.com/file/24g0dk (uploaded by Black_Knight)
http://rapidshare.com/files/50009905/Trauma_Center_Second_Opinion.rar (uploaded by Haoran)