The iShoot application has a "Shoot-offs" GUI similar to the Skeet Manager "Shootoff/Post Winners" GUI. Club Admins can visit this view to see all the scores across the entire shoot. Here is an example from the iZone 4 12 Gauge concurrent events that show scores less than 100.
A Shoot Admin with some experience could look at this and note that the 2 97s one at PSTC and one at FTBCTC will likely have to shoot. They can proactively ask the Overall Admin to provide for the shoot-off or the could print a blank scoresheet and just shoot it to be added later if required.
I will revisit this answer for more editing later so check back for changes or additional answers here.