The 950 should help. And your 700W PSU should be fine too... nVidia has made huge strides in the last couple of years to the point that my GTX 960 idles at far less than any video card I've had in years. It also idles with no fans and I can even run HD video and other stuff without the fan spooling at all.
Its also a pretty solid card even in the latest games.
Hopefully it helps your issue out. Not sure what else to suggest that isn't here from one of the guys.
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