Given your price range and system, you could look at a Chord Hugo TT2. Nice DAC that has filters which give you a little flex in terms of sound profile.
Alternatively, the PS Audio DSD is a nice unit that could be down in your price range with a trade to PS Audio. They are super flexible in what they are willing to accept.
Rockna Wavelight would be another good alternative and is on budget without any issue. Rockna makes some brilliant products.
Any of these three should be better than the DAC in your pre.
That being said, a lot of folks would say upgrading your streamer will do more than upgrading your DAC. It sounds odd but makes more of a difference than you would think. Check out Lumin as they make some great streamers.
Full disclosure, I am a Chord Dealer and have access to a few other brands.
Alternatively, the PS Audio DSD is a nice unit that could be down in your price range with a trade to PS Audio. They are super flexible in what they are willing to accept.
Rockna Wavelight would be another good alternative and is on budget without any issue. Rockna makes some brilliant products.
Any of these three should be better than the DAC in your pre.
That being said, a lot of folks would say upgrading your streamer will do more than upgrading your DAC. It sounds odd but makes more of a difference than you would think. Check out Lumin as they make some great streamers.
Full disclosure, I am a Chord Dealer and have access to a few other brands.