Does the Jr. have a built in preamp? If so, have you tried playing with volume level on it? When I had the DSD MkI best sound was with volume set at 92. Reduced the overall noise. One other suggestion, if you’re using RCA cables, try XLR. You might get your bass improved a bit and it might sound better overall. Also, Kimber cables are not warm and paired with open and resolving Sim Audio amp could be the source of your fatigue. You can try different speaker cables.
This is before you upgrade anything.
Now to the upgrade…depending on your budget, there are better DACs out there. I’m using Chord Hugo TT2 now and it has a good amount of tuning as far as output is concerned. It has a super low noise floor, is more resolving than the PS Audio DSD MkI but not as warm sounding. It could be the upgrade you’re looking for. Then there’s always a DSD MkI that’s going to be an improvement over your Jr. and can be had for under $1500. It’s going to retain the PS Audio sound signature but should have better bass and should be better overall.
There are many other good choices out there. What’s the budget?