Any time you want to clean up copper, just wipe it down with a flux coated rag WHILE the copper is still hot, but after the solder set. it will sizzle every bit of dirt and tarnish right off. it can be done after the fact, but you have to be careful to not melt the solder.
From my personal experience with painting clear to avoid tarnish....it will eventually get under the finish. It is next to impossible to get all the flux off, and that is always the point that I see it get in.
A thick coat of black paint would make it look sharp for sure, and save all that time spent making it look pretty. If you like the copper look, get some copper colored spray paint.
For a fluid, your best bet for info is to compare this to CPU cooling. Most of what I got from it for air temp cooling was using fluids that killed molds/fungus/algae as well as helped with galvanic corrosion. For my cpu loop I used a shot glass of antifreeze as a basic mold/fungi/algae killer. It worked great for years that way without any issues.