Could also keep an eye out for case sales. I know for sure that Antec 300 (or illusion) will fit the cooler just fine.
Illusion was on sale for under $50 just last week.
However comments on newegg page list that the case fits Hyper 212+ which is the same size as the EVO, so I think you are fine either way.
And if you have the money, seriously consider a Radeon 6870. I think I just saw one on sale for like $140 and if you can get it that low it's a great deal.