Cut -
Yes - there was an instrumental version of the 'Faith of the Heart' at the end of "Broken Bow" - I mentioned it earlier in the thread. It was like listening to any watered down muzak in the line at the grocery store and unfortunately held no potential to help the music needs of the show, or Trek, in any way, shape, or form. As someone who produces music for various media on a daily basis - that version was the "oops, we ran out of time and don't want the version with the lyrics playing for a second time at the close, too, so let's get in front of those synthesizers and get something done real quick so we can get this thing out the door..." Plus, it was Faith of the Heart, just spun another way... Why not anything else - why not something new that's sweeping and broad and worthy of the pilot we'd just seen? Heaven forbid they dip into the Star Trek library and use some of the excellent material from there to tie some things together, at least in music.
(Cut-- Please don't think I don't respect your opinion to like or enjoy the instrumental 'Faith of the Heart', I just happen to have a strong opposing opinion for a number of different reasons. To each his/her own. And to answer your question - I am not sure if that version made it on any soundtrack-if it did-I missed it.)
It seemed obvious when Archer's theme premiered in the second full episode that they ran out of time getting it done for the premiere episode - and I think many of us were grateful for it's appearance and addition to the musical lexicon of Star Trek.
---rhodeschroma