It’s not a bad suggestion, but I’m thinking the issue isn’t the headphone amp. I have a few options already, The King MkII, an LTA MZ3 tube amp, and the pretty decent solid state amp in my Mytek Manhattan II. I haven’t tried hooking up the Mytek yet (the only one that can do balanced) but The King is extremely good, and the MZ3 is more smooth and rounded and yet still struggles with some of these intense transients from the Bartok.
My suspicion is that it’s either just the DCS sound, a power cable incompatibility, an unrefined digital input, or all three. The problem is, a lot of money gets spend before I know for sure that it’s just the DAC.
After the BHA-1 I briefly used a Lehmann Black Cube Linear which was nice, similar to the Bryston but not harsh, and fewer features, but for a long time I just used the Mytek headphone amp which is surprisingly good. I even kept using it with my Direcstream DAC until I finally switched over to the tube ones, although it is actually almost as good.