Ok, Well it is definitely a Heat/load related problem otherwise it would fail instantly, You need to test the GFX card in another system and/or try similar power card in Yours (a low powered card would not load the system enough and make You think it's the GFX Card...(which it still may be )
It could be a power issue PSU/Mobo, try underclocking everything in turn, but again that could lead You up the Garden path, actually overclocking everything in turn May give You more useful feedback !
It could be a power issue PSU/Mobo, try underclocking everything in turn, but again that could lead You up the Garden path, actually overclocking everything in turn May give You more useful feedback !