There are really no top shelf fans WITH RGB that are also quiet. Generally speaking there are RGB fans and then there are high quality fans with either good performance characteristics, low noise levels or some combination of both. There are really only two fan models that are fairly decent AND have RGB, but neither of them is particularly quiet compared to something like a Noctua or Thermalright fan. Neither of which has any fans with RGB. It's practically impossible to find a highly engineered fan with RGB, because it's much like taking a highly tuned Nascar front runner and putting spinners on it. Plus, the very best fans have the very best motors, and it's hard to stuff both the electronics for the RGB AND a quiet but powerful motor in the cage frame. There simply isn't enough room to do both so smaller, less capable fans are generally used in those applications.
These however, are a somewhat happy medium.
These are decent quality, with RGB, and have fairly low noise level (On paper at least. They are not AS quiet as their specs would indicate but still very much tolerable compared to most other fans) however they do not have great static pressure ratings so they might struggle more as intake fans or when used on a heatsink or radiator.
https://www.corsair.com/us/en/Categ...-&-LED-Fans/ml-pro-rgb-config/p/CO-9050077-WW
These are significantly louder at full speed, however they have RGB and are decent quality, and have very good static pressure ratings, at least on paper. I have not seen any review that addresses the question of static pressure testing yet although I am keeping my eye open. It is unfortunate that Silent PC crew no longer actively reviews cooling system products to test noise and static pressure specifications like they used to do.
Our AL Series ARGB fans allow your system to truly shine. Six hub-mounted addressable RGB LEDs work in harmony with a white semi-opaque outer ring and fan blades to produce a beautifully uniform glow across the fan’s entire surface.
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As far as the case goes, I'd stick to the Meshify. That RX 580 is not a highly efficient design, and as such it runs hotter than a comparable Nvidia card. Having good airflow should be a high priority, and even more so if you plan to overclock it at all.
As to the fan configuration, I'd go with three front intake fans, one rear exhaust fan and one top-rear exhaust fan.