The cheapest Lampizator dac (Amber) starts at about 1200 euro and they have the sound I think you're after. Audio Note UK (not AN kits) also make excellent "analogue-sounding" dacs but, I think, not in your price range. However, you could probably find one secondhand. Another option would be the Line Magnetic LM-502CA, which would be around $1000 secondhand. All of these offer a non-fatiguing sound with excellent timbre.
