If you're going to be cutting plastic with a relatively high speed cutter (chop saw, band saw, router, etc), there's going to be clingy chips and dust everywhere for a long time. There's no way to eliminate it. All you can do is reduce it and a dust collection system seems the simplest and most effective. I like the suggestion of more air volume and less air speed. I also like the idea of metal/conductive ducting that's grounded.
I don't like the idea of cutting plastic with a router outside and having it all over the yard and in the grass. How do you clean that up? The birds don't eat it and it doesn't just disintegrate.
I also don't recommend blowing off all your equip with an air compressor. Sure, the tool is cleaned off, but where did it all go? All over everywhere else.
I don't cut a lot of plastic, but when I do, it's on a chop saw. I just put a barrier behind the saw to keep the savings from flying everywhere and then I just do my best to clean up with the shop vac when I'm done. Same with cutting aluminium.
If I just needed to cut plastic with a router one time, I'd find or make an enclosed space to contain the mess and then just clean it all up with a shop vac as best I could.