The Beyerdynamic range specialises in detail, rather than bass. It can do bass, but it’s clean bass rather than what I think you’re looking for.
In my experience, Modhouse Argons and Meze 99 Noir/Neo/Classics do good low end. Of course since Argons have a crazy long shipping time (since they are custom made), Meze 99 would be a good choice which doesn’t need huge amount of power to run. Hifiman HE5SE also do bass though not as great as the Argons, I vouch for that since I was one of the paid chat people who insisted that Zeos got a bad set for his review, which is why he had to rereview it.
From there you’ve got choices, SMSL SU-8 and THX 789 would give you the best bang for buck combo. Caveats are, not that great single ended output and neutral headphones (like Sennheiser HD600’s will sound sterile and boring), but aside from that, it covers 90% of headphones and a good upgrade path.
That said, headphones and source (record mastering) matters over amp and DAC. Try and look for headphones that suit your taste before you look to DAC/amps.
As for the DT880’s, I have just finished doing a tutorial for balanced mods. So you can use it with the 789, but you’ve got to get down and dirty. I personally wouldn’t recommend the BasX A100 because while it can power the Argons and DT880’s single ended, it’s not clean. It’s really more for speakers than headphones, so other headphones won’t sound good on it, which sucks if you plan to change or add other headphones later.