A warm DAC?

I agree with the recommendation of the Schiit Modi 3.
it is a warm sounding, very listenable Dac.
Don’t be wary of its low price,, it’s the sound that matters and this one delivers. 

I tried the Chord Qutest but the Schiit Gungnir Multibit is much better. Very warm yet detailed.

I second MHDT Orchid

Interesting comment about the Gungnir besting the Qutest. I've owned both and my impression is exactly the opposite.

At the Arizona Audio Video Club DAC shootout last August (well designed, level matched, 0.5 seconds between selection switching using a $100k+ system in a purpose built room), most of the thirty or slightly more participants choose the Qutest over the Yaggdrasil. The Black Ice Audio Glass FX Tube DAC DSD came out on top.

My highest recommendation for your budget goes to the Lampizator Atlantic. I suggest you contact Lukasz Fikus directly @ lampizatorpoland@gmail.com.