Reducing jitter may clean up some of the edges, but I doubt it's going to turn a somewhat clinical sound into a meaningfully richer or more musical experience. I think you'd be better off looking for a DAC that sounds more musical to you rather than trying to make your DAC sound a certain way when it may just not want to go there (I'm in a similar situation with my own DAC). As an example you've probably seen the review of the MSB Gold DAC on enjoythemusic.com comparing it to the Audio Note before and I don't mean this to disparage your DAC as it's obviously well respected, but DACs have come a long way in just the past few years so it may really be worth it to at least check out what some of the newer ones can do (including reduce jitter on their own) before throwing money at this one. Either way you'll be in a better position to make the right decision and you may even have some fun in the process.
Best of luck.
Best of luck.