On my old case. I bought a new zotac 780. Turned out it was a little longer than expected. So i removed the cage covering the fans.
So it was bare. Had to use zipties for cables not to block the fans lol. On new case i got more than enough room. But now with waterblock.
So ontopic. If possible try to unscrew the parts which is in the way. Else just get a new case.