The Kobo Aura HD is the only ereader that might be close, but it's only an 8 inch screen and no color.
The Nook HD+ sounds like very close to what you want. I found it much easier on my eyes than my other Android tablet. It's around $150 new right now which is an absolute steal.
You can really control the screen brightness. It was a surprise to realize how limited my other tablet's brightness controls were, and being able to turn the brightness down more really helped with eyestrain. The HD+'s resolution is really good (1920 x 1280) and that also helped.
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