Can this PSU handle a GTX 970?

I don't know about the brand specifically.But as per your power consumption issue it will surely work.
The I3-6100 CPU will consume 95W to 125W and GTX 970 will consume 145W.

So the total minimum power required is 270 W.

Meanwhile the PSU you specified is enough for your build.

And for the brand I would like to recommend you to go with some popular and reliable brands.