If you could somehow forego your integrated requirement, you could get an absolutely fantastic system with Schiit Vidar (2x100W) + Schiit Freya S + Schiit Modius/Bifrost for almost exactly $2k.
This is also future proof so that in the future, if you decide to change to less efficient and bigger speakers, you could add another Vidar and use them in bridged mode to get 2 x 400Watts, for only an extra $700.