The Aune T1, being a tube DAC, IMO could add a touch of warmth to the sound but I am not sure how much cuz I haven't tried it before. What I meant in my last post is that if you still find the Emo/HE500 combo to be bright sometimes, tube DACs might not be the solution. Try the modi first as a reference baseline and go from there.
I have the T1, and it does power the HE-500 pretty well. It very easily satisfies me when I don't feel like hooking up a speaker amp.
If you want warmth and bass though, you want something with tone control or bass boost. The Lepai works well here for fun, and is cheap.