Hi,
Would it be possible to get some kind of online environment or space in which you can record small live jam sessions or a virtual music-studio Session with several musicians directly to Adobe Audition or Premiere or some kind of "Online Studio". The goal is to then be able to record and edit the individual tracks either together or separately and prepare them for a master mix. Similar approaches, although often without DAW integration, include Jamulus, JamKazam, JackTrip, SuperConductor, etc.
The challenge here will be to achieve the most accurate, or at least good, real-time recording possible without any noticeable delay, as well as the integration of webcams.
regards,
Henrik