Bix recorded Blue River twice.
1. Aug 25, 1927 - Frank Trumbauer and His Orchestra.
2.Sep 15, 1927 - Jean Goldkette and His Orchestra.
Both versions are in the magnificent CD set Bix Restored, volumes 1-5.
If all you want is listening to the records, both are available in the internet.
Trumbauer's version http://www.youtube.com/watch?v=sa8BsVtbS3U (listen carefully to Bix's soft obbligato behind the vocal)
Goldkette's version http://www.youtube.com/watch?v=Plt2j4WeZxE