Well bud, every long term method of cooling (except for some of the sub zero ones like single-stage phase change) requires fans. The difference is whether those fans are against a heatsink, or a radiator. If you want good cooling but absolutely won't touch any liquid methods, go with the Noctua NH-D14. If you want some serious heat dissipation, I can recommend some water cooling kits or help you pick out the parts to make your own custom loop. If you want liquid cooling, but don't want to deal with assembly, grab a Swiftech H220. It performs better than other pre-assembled closed loop coolers, but is the only one I know of that can be disassembled to add extra waterblocks and radiators.

As far as the parts for the build itself, I'll get started on a list and post it here for your opinion. I'll say right now that you don't need multiple graphics cards to play the most intensive games at high resolutions, and multiple card setups can/will lead to problem such as microstutter, power draw, noise, and more heat inside of your case. I have a multi-card configuration and it's been troubling at times, not to mention it's less cost efficient than a comparable single card solution.

Also: The Switch 810 is an outstanding case, and I have one myself. If you decide to do liquid cooling you're set.