my thoughts is to do some research for the quietest gaming PCs and you will probably see they are not cheap, probably not to build either. if you can't get by with a passive cooled video card, and it has fans, guess what, when gaming, it ain't quiet any more. So, you are stuck with large open type cases with lots of fans or liquid cooling for silence.
consider what kind of gaming you are doing, are you casual gamer, a serious gamer? what games are you planning on playing, etc.. what you want and what you need might be two different things.