As suggested, sync each camera to the audio mix on tracks 2 3 4 5 6 etc leaving 1 (IMPORTANT) free to the end of prog.
Then mark in and out up to each re sync point. go to in. on each track make match frame then a sub clip for each camera. then select these subclips in the bin (in the order you wish them to appear in the multicam window) and then create a group clip based on in point. Take this group clip, add it to the play monitor , mark in at head and edit it onto the clear track 1. Work your way down the timeline from thast point to the next cut etc etc etc etc.
Enalble multicam and vision mix it on track 1.
NB I have matchframe and subclip mapped to f2 abd f3 for speed, and each camera mapped to f5 f6 f7 f8 f9 for easy vision mixing.
Works a treat
OH, and fire the camermen who stopped their cameras. they need to get your edit bill as theyve cost you a lot of time.!!
Post Production Dubbing Mixer