Ah, Don't Look Past Me. That's an odd one.
The song was written around the same time as Metropolis, Change Of Seasons, and To Live Forever, right after When Dream And Day Unite, but ended up being cut from Images And Words along with To Live Forever and Change Of Seasons. But, those four songs ended up being the main(And in most cases, only) ones used for the singer auditions in 1990.
Currently, all released recordings of Don't Look Past Me come from the 1990 singer auditions. Aside from the John Hendricks one you already know about, and the Cleaning Out The Closet version(Which is an interesting case I'll mention in a moment), there is...Chris Cintron's auditionJohn Arch's audition
(Although he was never seriously considering joining the band. Also this version uses slightly different lyrics)
And finally, James LaBrie's 1990 audition version
The 1990 James LaBrie version is different from the Cleaning Out The Closet version with James, though. Since a high quality recording of James' 1990 audition didn't exist, they had James record a new vocal track over the instrumental tracks from John Hendricks' audition when they were releasing Cleaning Out The Closet. Assumedly, they did this in the studio while they were recording Scenes From A Memory.