I don't think there is an option for what I want to do, but I would like to be sure I am not missing the option (and put in the request if not).
I think what I am looking for is an omitted option for Custom | Time Sampling that I would call Sequential - Still Frame (as opposed to Random - Still Frame).
I have a hidden layer that I populate with a different persons name (via expressions) on each frame. I Want each particle to use the 'next' name in the list at birth and keep it still. Does this make sense? Am I missing something?
Another separate note:
I was using a looping 3D logo as a particle (Custom - Start at Birth Loop). But I could not use the effect I wanted because it stopped rotating when I set Physics Time Factor to 0. It would be great to have an option to not stop the particle from looping.