It does seem a shame to lose out on the dynamic range which is one of the great things about all kinds of music, not least classical. Like Mark, I was thinking of headphones (I tend not to think much about earbuds).
If headphones are an option, you'd get the most natural, open sound with "open back" headphones, rather than "closed back". though they tend to be a little anti-social, as some of what you hear leaks out. So, not recommended for use on public transport or if your wife is in the same room. But no problem if she's two rooms away. Open back phones also let more external sounds in.
I'm not sure you'd need active noise cancellation, as Mark mentioned, unless there's significant, continuous ambient noise where you are, but Mark may know better if there are specific benefits for anyone with impaired hearing. Active cancellation is great for plane journeys, for example, or anywhere else there's a lot of constant, particularly lower frequency sound.
Just a personal opinion: I don't think the B2 gives enough power on its own for most headphones, certainly not higher end ones. Thus I'd consider an external, combined DAC/headphone amplifier. This need not be expensive and you'd get the added benefit, which most people here agree on, of using an external DAC to convert the B2 digital signal to analogue. If you're connecting your B2 to an external system already, it may well have its own headphone output.