Here's a list of emissivity coefficients
https://analytical-testing.ie/blog/emissivity-coefficients/
It looks like paint scores very high. Maybe this is why some people paint their heatsinks. But then maybe heat transfer from the aluminium into the pain is low?
Anodizing brings the aluminium to 0.77, much higher but not as high as some materials.
I guess if we want to be very specific, we would want emissivity between 50C and 80C?
If the heat-transfer from the CPU to the heatsink/case is very efficient, then I'm guessing the case could reach these temps?
What about covering the fins in a thin layer of diamond thermal paste?
Black Silicone Paint 0.93
Carbon, not oxidized 0.81
Carbon pressed filled surface 0.98
Glass smooth 0.92 – 0.94
Lampblack paint 0.96
Oil paints, all colors 0.92 – 0.96
Plastics 0.90 – 0.97
Polypropylene 0.97
Rubber, natural hard 0.91 (also add some protection? Rubber computer!)
I guess we need something with both a high emissivity coefficient and thermally conductive between materials. I'm thinking diamond thermal paste could do that, but don't know what else. Buy a huge bucket of diamond thermal paste and cost the entire case?