Best DAC/Preamp Interface

I've officially STOPPED recording at home, and only use my home setup for post production now, which means the only qualities of my sound card that I care about are:



(a) Digital/Audio Conversion (aka DAC) of the sound card, and

(b) the output volume



I currently have a Focusrite Saffire Pro 14, but the output is too low for my DT770's (80 ohm model). When I crank the headphone output up, the signal sounds "shitty." Is there another interface people can recommend, or do I just need to get a second stage preamp for the 770's? Obviously, I want to minimize the steps in my signal chain to avoid coloring the sound, but I'm pretty sure that any interface is going to have the same volume output for the headphones, unless there's actually a built in pre, right?



The options I'm considering are an Apollo Twin, an Apogee Duet, an RME Babyface, or a Motu Ultralite.



Thanks!

Best DAC/Preamp Interface