May I ask how you listen to music and what type of music you listen to? What are the important criterion? Since your room is well treated, i expect you pay attention to those details.
An audition of the variations you’re considering will inform better than any of us can. That said, since you asked, I will offer that my experience brought me to the conclusion that the streamer is more important than the DAC. I’ve listened to a fair number of DACs well above the price point you’re considering. They’re different of course. But the better streamers opened up the music with a given DAC more than a better DAC did with a modest streamer. My experience only - YMMV so an audition is a must.
Complicating things is that most DACs have certain inputs that are better than others and may be revealing of the cables used to connect them. So, you’ll want to pay attention to those details too. In any case - let us know of your progress.
Best,