I do mostly portage camping so try to keep my weight down. I'm pretty happy with doing cowboy coffee over my stove, but I use a modified James Hoffman's french press technique:
Boil water, add coffee. Add lid, wait ~5 minutes.
Stir and scoop out foam floating on top. Return lid, wait ~5 minutes.
In one single pour, pour coffee from pot into another pot, watching that the sediment remains behind.
Pour from second pot into cups to serve.
I find doing this I get a really clean cup with practically no sediment, and don't need to bring any additional equipment with me.