I'm blind, and have wanted to play this game ever since I heard of it years ago. I used to play console-based roguelikes, and while they were a bit slow to interact with, RLs were a refreshing tactical change from text-based IF.
Reading lots of DF stories would suggest that there's some sort of internal eventbus-style system by which the characters themselves interpret their surroundings, and if you could hook into that, you could describe the world textually to some extent. You might even add audio cues for certain events to increase the non-visual fidelity of the UI.
I see in some of the below comments that there's a text-based mode. Might give that a try to see if it's playable on the same scale as Nethack/Angband were for me.
Google led me to an 8-page forum thread on the subject. Checking it out now, and spinning up a Vagrant VM to play with the Linux version's text mode (it segfaults for me under Windows, unfortunately.)
They also touch on games that have been developed especially for blind player, without graphics only audio.