Given the features and sound characteristics you're looking for and that your speakers probably appreciate some power, I think the Lyngdorf TDAI 3400 would be a very good choice. And you get their RoomPerfect room correction as a nice bonus. Fronting it with a good streamer/server like the Innuos Zen would make a great combo and achieve all your goals. Here are some used units that would fit at the top of your price range. Best of luck.
https://www.audiogon.com/listings/lis9f401-lyngdorf-tdai-3400-loaded-hdmi-and-analog-audio-modules-r...
https://www.audiogon.com/listings/lis9fafi-innuos-zen-mkii-2tb-black-media-servers?refsource=hifisha...
https://www.audiogon.com/listings/lis9f401-lyngdorf-tdai-3400-loaded-hdmi-and-analog-audio-modules-r...
https://www.audiogon.com/listings/lis9fafi-innuos-zen-mkii-2tb-black-media-servers?refsource=hifisha...