(Disclaimer: I'm not an expert in this.)
One thing you didn't mention (or I missed) is that this tracking is in place only for *colour* printers. So a monochrome laser printer is likely to be safer.
The reason for these dots in the first place was that governments (even non-facist ones) were concerned about easy counterfeit money, which is only a problem with colour printers.
So, second-hand airgapped B&W laser printer with a nice random stippled background on your poster.
