I actually was looking for this not that long ago, and here is what I found. So, about a month ago, I got into a discussion on a John Williams Fansite (JWfan), and someone on a pm thread started talking about the missing (at the time) Cairo source music from Raiders. So, and friend of mine and I spent a whole night tracking down as much of the source/missing music from all four of the films. We were able to find all of the Cairo Marketplace music, and the song from the bar. We were unable to find the Doc Workers chant, and the infamous Dig scene song. The unfortunate part about the Dig song is that someone sampled that scene's audio (with the sfx) in their song. And that brings me to the Indian Chant, which someone also unfortunately sampled in their song. So, for the Dig and the Indian Chant nothing came up.