I avoid dump station lines whenever possible. But sometimes on longer trips it has to happen. I often use my gray water to flush my black tank. All it takes is a twist on valve at the end of the plumbing.
Open twist-on, open black tank and drain. Close twist-on, leave black valve open, then open gray valve. Gray water will back flow into the black tank. You'll hear it, and when the whoosh stops, close the gray valve. Open the twist-on and let the black drain again. Finally close the black valve, open the gray and/or galley and finish the job.
While all that is going on, no one in line will know anything about a flush going on. And you'll be there watching and working the valves the whole time.