I will second a couple of the recommendations so far. I have a Denafrips Ares(Jazz, acoustic) and a Chord Qutest(Rock, Electronic). Believe it or not I like one over the other depending on the music type. The DAC's feed an Orchard Audio Gan amp to an LTA MZA3 preamp. Going off of your budget I would think the Denafrips Pontus or the Gen 1 Chord Hugo TT would be good choices.
Whatever ever you choose, from my research and what others with more experience than I have stated, a reclocker seems to be a valuable addition whatever DAC you end up with. Best of luck on your search.