For a meaningful upgrade both sonically and with a good app at your budget, unless you’re extremely space constrained I think you’re much better off with a separate streamer and integrated amp/DAC. The new Innuos Pulse Mini will give you a great streamer that comes with its excellent Sense app that’s praised for both its usability and sound quality. And there’s a good used Bel Canto C5i integrated amp/DAC that’d make an excellent partner for the Innuos. They both are small footprint products so won’t take up much more room than a one-box unit but will likely deliver much better performance and comes in well below your $3k price target. Just one thought, and best of luck.
https://www.usaudiomart.com/details/649987921-bel-canto-c5i-integrated-amplifier/
https://jaguaraudio.com/product/pulsemini-streaming-network-player-by-innuos/