I'll second the Nola Minis. They meet or exceed all your criteria.
They have surprising bass heft for monitors and are very pleasing with rock. The main thing for your type of listening is that they have superb dynamics and dynamic contrast, along with a pleasing transparency and large stage. They will not get congested or veiled, especially in a medium sized room as yours. The treble is very sweet and extended, not bright and not rolled off.
These attributes are as important at low to medium listening levels as they are at louder levels. They are happy with modest electronics but will truly sing with high class gear. I would think they would be a good match with your MF integrated.
The Minis are my standard rec for monitors under 2k, even though they only list for $695.00.
I've seen the Minis playing next to Carl's full range Vipers ($6500) and people didn't realize the sound as coming frm those little boxes!
Forget the Epos LS3s - they are OK but not quite good enough given your budget. The Epos M5s are a little closer, but don't have the Minis bass extnsion.
The only knock I have on the Minis is that they are plain black boxes - but they sund great, so I can easily forgive them that.
But hey, if you want to spend much more money on speakers that don't sound nearly as good - I can't help ya.