adobe photoshop - How can I simulate screen printing/offset colors in a non-destructive way

In screen printing or offset printing (or any other printing process that uses galzing colors) colors printed on top of each others mix together.

This is similar to the multiply layer blend mode. Unfortunately this only works on a single layer. If I use multiple layers for the same color, these layers will multiply with each other, which is not what I want (each color is only printed once later)

What is the best way to simulate this in Photoshop, so that a single color can be made up of several layers? Also it would be great if I could easily change each color easily later.