Hey, Luke, is this article at all useful to you?
http://hackaday.com/2017/06/24/hackaday-prize-entry-a-3d-printer-management-...
It looks like something you could fairly easily implement in such a way as to potentially speed up laptop part printing... the way I envision it, you have one printer for each part, and it just spits out one after another into, eg, an empty Tide or Fresh Step box.
...or maybe I'm daydreaming. You tell me :)