Given the budget you may want to look at some of the Lian Li cases. Some people really don't like them just because they're cost prohibitive or they don't think they're a good value but, I've built computers in tons of them and I love them. Specifically I'd point you toward the PC-7B or it's newer counterpart The A09, both well under your budget and cool very well. The ne K7B has dual 120mm intakes and is on my list for posible cases for my next personal build. The A17 is really amaizing case for the price, essentially a small Stacker or armor with great airflow but not at all a quiet case with some good fans.
Besides all those, the 900 is a great case for cooling. I'm not a personal fan of the armor searies, they're isn't anything really wrong with them but, compared to the competition they just don't stand out to me at all. The P18x are very good for quieter computer but, their airflow, specifically intake airflow is pretty choked.