Here are, what I believe, the selections you recommended. I don't know if the quality is good enough for you.
Sent for You Yesterday http://www.jazz-on-line.com/a/rama/DEC63286-A.ram Count Basie Nov 16, 1938
One O'Clock Jump http://www.jazz-on-line.com/a/rama/COLB22252.ram Harry James Jan 5, 1938
Heaven Help This Heart of Mine http://www.jazz-on-line.com/a/ramc/VOC21334.ram Mildred Bailey June 27, 1937
Blue and Sentimental http://www.jazz-on-line.com/a/rama/DEC63919.ram Count Basie June 6, 1938
Certainly, Herschel was a master of his instrument and I can understand how you are a great admirer. Indeed, there is a mood associated with Herschel's playing. But I cannot hear the connection to Bix. I agree that Bix in "Singin' the Blues" is thoughtful, but moody? I looked up definitions of moody.