I'll second the recommendation of a Denafrips R2R type DAC. I have both the Ares II and the Venus 15. At your price range you could do very well with a used Pontus II or 12. Many consider this the sweet spot in the Denafrips range.
My Venus 15 matches vinyl, especially playing a hi-res source, and makes CD much more analogue-like. The Ares II is similar, but with less bass impact and a bit more grain. I haven't actually heard a Pontus.
I also second the recommendation of the GeerFab D.BOB if you want to play SACDs and get DSD into your DAC.