I might suggest you look at the NAD M12. Part of their masters series, it does everything you want, or has plug in modules to do everything want. I have the unit in one system, PS audio Stellar DAC/Pre in another and Parasound Halo gear in a 3rd. The PS Audio and NAD Masters gear is substantially better than the Parasound gear which sounds slow and muddy in comparison. The NAD M gear takes a long time to break in (a couple hundred hours probably) but is resolving and sweet to listen to. Is there better gear? Sure. Still worth a look. You’d be stretching your budget but might find a unit lightly used.
Best,
Best,