That is a very tight turnaround – good luck.
All I can speak to is Premiere Pro (duh.) Premiere Pro can accept growing files to allow you to edit while ingesting. We do have a workflow with EVS but I don’t know about Airspeeds – it would depend on what the play out codec is.
Expanded growing file support and this kind of tight turnaround is a focus for Premiere Pro.
Dennis – Adobe guy