I’d suggest doing this “like they really do it in the movies.”
Place several cameras in the base scene. Then, create linked scenes in which you select a particular camera and designate a different output-directory. Then, use “OpenGL Preview” renders to quickly render the action from each camera position. Go ahead and let the characters walk on, do their moves and walk off while the camera runs. Turn on the Stamp feature to include timecode, frame number, scene, camera, and output-file.
Then, dust off your cinematographer / film-editor hat. Use VSE or some other video editing tool to “cut the shots together” into a finished sequence. Perhaps, one of several.
You’ll actually spend more time than you think, tweaking this. It’s a very important part of filmmaking, and quick-renders make it cheap. And, you’ll probably find that the actual cuts that you come up with are quite different from what you originally thought. You’ll probably find that the actual frame-ranges, that you actually use in the “final cut,” are much less than what you quick-rendered. If you plan to use music, lay in a scratch-track with the proper timing.
You might find yourself saying, “well, what if we do this?” Go ahead and try it! Whip out another quick strip in the same manner and see if you can fit it in. OpenGL Preview renders are cheap enough to make that you can afford to splurge.
(But do make this agreement with yourself: that, at this point, you will not throw anything away. If you don’t like this-or-that shot, make another one. Make a folder called “rubbish,” if you like. But don’t actually discard anything. Add another camera instead of removing or repositioning one that you’ve already used. After all, you won’t exactly “run out.”)
Now, pull-off the list of shots and frame-numbers from each shot. Those, and only those, are the frames that you must now render in detail. As you complete each one, drop it into the final. The best thing about “OpenGL Preview,” in addition to the fact that it’s fast, is that the previews will match exactly to a final-render version of the same shot. (Furthemore, in quite a number of situations, those “Quick” renders are actually good enough(!) for all or part of the shot.)