This is why myself, and a lot of others, recommend people go a significant amount OVER what the PSU recommendation is for a setup, to avoid precisely these issues.
Definitely test the card in another system, preferably with a much beefier PSU... because it's either the card or the PSU, pretty much guaranteed if your previous GPU worked fine in the same system.
I would talk to eVGA support & see if they'd be willing to let you RMA the PSU for a different model given that model "should" support this GPU but clearly has issues with it, despite "meeting" the wattage requirement.
I bought my PSU with the intention of going 2 1080 Ti Hybrids in SLi with XOC BIOS on them, but never got a second card due to several circumstances... glad I did because it's a beef-cake that will never have a problem with anything I throw in my system for the length of it's 10 year warranty.