Since you will be using the DNA-1 I can relate. About 15 or more years ago I had a DNA -1 with rev a mods mated with a Rogue 99 magnum preamp and Joseph Audio Rm25si. That was an awesome system should be in your budget.
Rogue to my ears is a little solid state sounding but with the McCormack it was a great Match with the warm mid range heavy DNA. I loved that amp. McCormack’s are also known to match with Vandersteen speakers.
The Rogue takes 4 6sn7’s I used 2 Ken Rad vt231’s and 2 silver label RCA’s with great results but I threw other tubes in there also. The Rogue responded very well to tube rolling.
If all this is over budget you could try a dac with a volume control but that’s a gamble. Sometimes it works sometime it’s bad. I’ve had some amps sound better without a preamp than with one you never know till you try, good luck.