Out of the list you have, i would probably go with the Define R3, not sure how quiet is the Antec Neo Eco 520 + Coolermaster 212, so having it on the top with it open might be much more noticable on the Solo II than on the R3, with quieter PSU n heatsink, i would go with solo II.
I used the Neo 520W on a few builds. Subjectively, it looks and sounds much like a Seasonic S12II 520 (I wouldn't be surprised if its identical). Most of the time with the system specs you are planning I'd expect PSU fan speeds to be at its minimum (~500RPM? my educated guess). In Solo II the PSU can also be mounted like in original Solo so that the fan is facing down and effectively blocking the top.
I like the way R3 looks, but not the door and Solo build quality seems ever so slightly better IMO... Its really up to your preference in terms of looks and usage.
As for the 212 evo I think it is an excellent cooler especially if you consider the price, but even compared to coolers that cost twice as much. It cools SNB very well and comes with a fairly quiet fan. Fan speed can typically be controlled in the BIOS depending on MOBO, both Asus and Intel (that I know of) have option to dial down the speed to ridiculously low speeds with added control of automatic ramping if it gets too hot.