I’d recommend looking at Sennheiser headphones and Woo headphone amps. I’ve had a top of the line headphone system for decades following the improving technology. Woo offers outstanding sounding tube based amps so you can get the power and warmth of the real thing. Ive used at least a dozen other amps.
The key is the electronics you back them up with. You can see my system under my USerID. It is by far the best system I have ever hears. All the electronics mater. As an initial step I would put $1K into headphones and $3K into the amp... consider used. For instance if you were able to get a used WA5 and then some good 300B tubes you will overcome any lack of warmth from your DAC. Then sometime down the road you can invest in a different DAC and Streamer.
It is just as difficult to put together a great headphone system as it is a main system. I think my ratio of headphone cost to electronics supporting them is 1 to 8. So eight times more cost in the electronics than the headphones.
One of the draws to Violectric is they are very high current amps. I have one... that is good. Many headphones amps do not have the current to drive all headphones. Current from solid state amps is similar to main systems... the more the better. Violectric dones not have a warm fleshed out midrange... which is really where a lot of the power and realism comes from. On the other hand... it is a system and every component counts.

