Most things in iClone can be "frozen" to allow a camera move for the effect. I don't think particles can be frozen though. We used to battle with this in Moviestorm, because its timeline works a bit differently and will not allow for stuff to be left in a default frozen state (unless you mod up your own animations that do not depricate, or such).
The camera switch is a handy tool, and so is an external video editor to put together those multiple, simultaneous shots.
I find that I often will shoot scenes with just one camera (just because its simple), and then set the transition curves of all my camera moves/rotations to "step". Just double click on the far left side of the camera track to select all camera keys, then right-click on any key and select "step" from the transition curve menu.
When you do the multiple cameras, do you usually record your entire scene/movie from all points of view and run them parallel in your editor?
Maybe a hand-held prop with attached cameras would be cool to get this effect, but from a character's hand-held point of view (hello Cloverfield/Apollo 18).