Any case with at least two 120mm intake fans or equivalent will offer adequate cooling for a gaming pc.
How quiet your case is, will depend on the fans used in the case, graphics card, psu, and cooler, and how fast they spin.
My approach is to use slow turning quiet fans, and let the part to get hot under load.
As to which case, get the one that appeals to you. Ignore your budget and get your dream case. You will be looking at it and touching it every day. A great case will last you through several generations of builds.