Great job Dave. I have one question. Did you use a click track or was everybody just following the drummer?
Drums are actually the last thing that were (and should) be recorded in remote ensembles like this. That way they can interact with the soloists, fill in hits better, etc.
Here is the order we did (I've done so many of these types of videos and have done it many different (wrong) ways before coming up with a system that I think is most musical and efficient
(everyone should be recording into a DAW so they have the option to mute certain parts, have them played louder, louder click, etc):
Make a practice track with keys, bass, and click. You can actually add a practice drum track as well but it will be deleted later - this is just if people want to have space filled up.
Horns record their parts within their sections including backgrounds (since each horn section is played by one person, minus the bari in this case because I don't have access to one right now!)
Add all of the horn parts to the main mix (still using the practice track)
Soloists play in the right spots, over the horn backgrounds and practice track
Then bass records, then keys/vibes/guitar, then finally drums.
I've found this way to be the best for everyone and makes the most sense musically to me. Also the audio person will be constantly updating the audio track in a shared folder so as parts are handed in, other musicians can choose to have them in their ears or not while recording.
This is also the same process I use when I play an entire chart myself (like "This Christmas" on December 1st where I played every big band part myself!)