Boy you dont mess around with audio. I like it.
A little audio story. I used to shoot my kids Little League games. Now I'd set up an XL2 along the 3rd base line, chained and on automatic, my XL1 spare Waaaaay out in center field chained to a tree getting that pitcher to batter shot with an optical extender on the already powerful optical zoom. And both of these I would just leave running.
Then I'd be behind my other XL2 down past 1st base on a tripod I'd handle myself and a 150' audio line hooked up to a very good Sennheiser clipped to the backstop behind home plate which would be my main audio source and a 2nd line into my 1st base audio. Even this main camera I'd let run all 1/2 inning long.
So when editing I'd capture all three streams and line them up for multi-cam editing on the time line. However I ran into a problem because "sound" is so slow none of the cams would line up to the audio recorded behind home base, most of all the center field one.
So what I'd do is find on each video stream, for each 1/2 inning, exactly where a bat struck a ball, detach audio from video, and shift the audio so that all three audio stream are aligned exactly. You could also use the sound spikes of the bat hitting the ball to aid you too. But at almost 30 FPS if you didnt do this the audio would be unusable from the other cameras. And all three audio sources are important for mixing, four actually.
So I'd start with the center field cam showing the pitch and hit, cut to the 3rd base cam for the ground ball, and cut to the 1st base cam for the throw to first all the while alternating between audio sources.
To be honest I found what you hear to be more fascinating to work with then what you see. Its unfortunate most venues/projects I worked had such lousy acoustics and the customers themselves never appreciated good audio.