Try the other PCIE slot, and dissable the HD graphics in the BIOS.
You could have a bad PCIE slot or a bad GPU. Make sure all your connectors are pushed in and realy check to make sure the the GPU is all the way pushed in
and try a new Power connector if you have one
If your not putting...
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Yea it could just be because the cooler on the card isnt the best.
Zotac isnt know for good GPU coolers. If it has been happening for a while it could just be the card. You should be fine running it at 60 just make sure the rest of the comp does not heat to those levels