Obviously, you have many choices. You should at least consider one of the Benchmark DAC/headphone amp products. They have been well reviewed, transparent, versatile and in your price range.
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I'm listening to my HD 800's with a Burson Conductor Virtuoso. I opted for the Burr-Brown 1793 chip as I don't care for oversampling DACs at all. To me, they sound more fake than NOS. The best, most natural and organic digital I've heard were all NOS DACs. I'm currently using the Virtuoso's DAC output to my integrated and it's giving my beloved Metrum Octave a run for its money.
Anyway, I'm really enjoying the Virtuoso. However, I am curious to see what valves may do with the "finicky" HD 800s.
This madness never ends.....