Sweet. Good stuff. I like the logic.
Expert level attached image: now what?
If the shirt is light enough, why not:
black
underlay white (mid-high mesh)
highlight white (low-mid mesh)
flash
(rest)
red
If you've got the right white on the highlight, probably one with mild puff, it seems like this could work. (Well, right ink, mesh selection, and squeegee settings.) Assumes you've guttered as Colin described. I'm not claiming to be an expert, though, so anyone is free to explain why this might not be best. (The one potential problem I see is that you might overflash your base white trying to keep highlight from being too tacky.)