Do you already have the PSU?
I'm running a 970 on a 430w bronze BeQuiet PSU, along with an i7 equivalent Xeon chip. Allll works fine, but I do get the odd bit of coil whine. I'm only running 1 mechanical drive and SSDs though, so if you've got quite a few drives or a high TDP processor or high overclock then I suspect the Corsair 550w will be fine with the 970. The 380 is a little more power hungry so I'm not sure with that.