Peter7307,
Back in the late 30's when NACA was investigating painted finned cylinders for air-cooled aircraft engines, they found that with black enamel the best results came from coatings .002" thick, and by .005" thick the performance was about the same as unpainted cylinders. I don't remember the magnitude of the improvement, but it wasn't much.
Of course, that's a different situation and probably doesn't apply at all to yours, but it may be a good starting point.
Regards