sometimes you can simplify designs into a "modified process"
i recently had a high school come to me with a complicated design, actually a photograph with all kinds of colors and block letters with gradient in them, just a real nightmare.
what I did was i broke it down into four basic colors: blues, skintones, red/yellow gradient (inside the lettering, and white on a black shirt
rather than just printing a solid white flashing underneath all the colours, I printed halftone highlights giving the illusion of multiple shades or lighter colours, and then the colours I printed with halftones to give the illusion of shadow.
For the Lettering, rather than making a red screen and a yellow screen with a halftone that blends from one to the other, I simply put both colors on the screen and let the squeegee make my gradient.
When you compare it side-by-side to the photo, the differences are quite obvious. But most people aren't that design savvy and will look at the final product and be amazed. This trick doesn't work this well all the time, but I knocked this image out in photoshop in like half an hour, so when you can make it work, it's worth it IMHO.