I see. It was either that card or the other one.

In that case you may actually get close to your 350Watts and if your PSU isn't really, really good, that's not advisable.

After checking a few reviews real quick, this one seems to be a very good PSU at an affordable price: https://www.newegg.com/Product/Produ...2012-_-Product

I found a cheaper one that also provides decent performance, the "Xilence Performance X 550W", but I can't seem to find that on Newegg or US Amazon.
Then again the Pure Power above is 90€ here with VAT and only 65$ before VAT on Newegg.