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Bump for being in a similar situation about a year ago.
I think the 960, 950, 1030, and 1050 are the lowest-level cards with HDMI 2.0 support on the Nvidia side. I ended up with a 1030 (purchased here on the forums).
Or, if you don't mind running it at reduced chroma, you can use a gt 710's HDMI 1.4 port (they enabled this trick on Kepler to make upgrading to 4k TVs easier).
HDMI 1.4 can run a 4k tv @30 4:4:4, or at 60 Hz reduced.
Bump, not really looking for an ultra low end card IE GT 710/730 . Would like for it to be able to at least play Fortnite 900P/1080P @ Low for when my nephews are over. Would consider a 670/760/770 as well.