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Do you have an original Aurora or the 570?
I have a 260 in my Aurora 570 right now; fits with about 5cm to spare. Took a 4870X2 fine as well.
Hmmm, shame - I thought the 570 was just the same chassis with a few different panels.
Have you looked at the HD4870 or HD4890? They're a few CM shorter than the 260 - 242mm according to here.
Although admittedly you'll have to plug in two PCI-E connectors in that space, as the 48xx cards don't have them on the side.
EDIT: Not if you buy a Gainward ATI Radeon HD 4870 "Golden Sample", which due to the non-reference design, has the sockets on the side