https://www.bumpworthy.com/bumps/207
Might have found this one? Or at least a song that sampled it
Song: Funk Died Freestyle
Artist: DJ J-Ronin, DJ Snips, DJ Nino Carta, AKIR
Album: All Elements: The Freestyle Files, Vol. 1
https://www.youtube.com/watch?v=qvNbc34AoD4
I heard about that one a few months ago but unfortunately it doesn't seem like the actual song, just the guy sampling the beat for his freestyle. It does appear to be a source version of the beat though rather than someone just editing the bump segment of the song together, as evident in some of the background details I noticed. The freestyle does appear to have a release date of 2009 too and that Inuyasha bump aired in August 2006, so unfortunately there's the original song using this instrumental still missing out there.