Can anyone recommend a large, non-built in PSU, cheap case?

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Basically, I've recently decided to upgrade my graphics card from a GT 640 to an Asus GTX 780 and after measuring I've found that my case is only about half of what I need to be able to fit it. I need a new PSU so I'm planning on buying separately because of the bad reputation of built in power supplies, so can anyone recommend a case large enough to fit a GTX 780 but cheap enough to not make me regret buying? Just to say, I have looked but couldn't find anything, usually just has a built in PSU or slightly too small, probably just not searching for the right thing. Thanks in advance.