I am well known for mucking around with a lot of DAC's, as well as owning quite a few.
Sub $3k I like the Chord Qute with an upgraded power supply, Metrum, and NAD M51.
However what you feed it is critical and I suggest a Syncromesh from Empirical Audio.
I also have to say if you lift your budget to $5-6K you will be able to get a much better DAC - it is not small incremental improvements at the $3k price point. In that price point I suggest the Phasure if you want to go full computer audio, a PDX, or a new DAC I have recently got called a Killer. Although I personally haven't heard it people tell me the Lampazator is pretty good.
Hearing those DAC's however will likely be a problem (although the Lampazator isn't too bad). They are made in minuscule quantities basically as hand made items for the enthusiast market. The reason I don't mention the usual commercial stuff at that price point is, and this is based on hearing a LOT of DAC's, I don't think they are worth the dosh. For example I am aware of a shootout between the Killer and a much more expensive DCS stack. Most preferred the Killer.
Thanks
Bill