You are wanting the negative to show, we refer it to "interlocking" halftones, which I wish a RIP could interpolate that.
You can do it in photoshop / illustrator by making it a bitmap, and then overlaying it on your base in illustrator.
We do this sometimes to make a smooth gradient, because if you do it with the rip you have two dots laying on the same degree so there will be unprinted sections. In a way it is sort of more like a more uniform index.
Anyone know a way to achieve this through a RIP and not the ghetto bitmap in illustrator workaround?