Stef Conner recorded an entire album trying to recreate ancient Sumerian and Babylonian music called The Flood, some of which you might enjoy. It is similarly minimalist in arrangement and modal.
Excerpt (from the Epic of Gilgamesh)
Since I’m not sure what exactly you’re focused on (vocal style, hurdy-gurdy, modality, epic narrative, authenticity) I’ll just run with similar modality since that’s the easiest stuff to find If you’re dead-set on just one or two voices singing an epic to minimal accompaniment, you can probably ignore the rest of this post.
If you don’t mind fuller instrumentation, there’s quite a bit of folk music revivals in the Middle East / North Africa / South Asia region that’s taking very old folk songs into a more modern setting (using modern instruments, sometimes even electronics).
Coke Studio Pakistan is a TV series highlighting local musicians, and they range from modern to more traditional styles. They’re on their 8th season now, and all the music is posted to youtube and available for free mp3 download from their website. You’d have to sift through quite a bit of music you’re not looking for to identify the stuff more to your liking, obviously.
Kangna, Chori, Chori
Coke Studio also has an India series that may have similar traditional music highlights, since they’re arguably the same people divided mostly by political history.
Niyaz focuses on Persian/Sufi poetry from the Iran/Aghanistan region, but they also modernize it (including electronics) and are anything but minimalistic.
Vas is an alt world music group involving Niyaz’s singer Azam Ali (I think predates Niyaz). Comparisons to Dead Can Dance are inevitable (a good thing, if you like DCD’s later, less gothic-industrial, more world-music-focused offerings).
Faran Ensemble if you’re into instrumentals from that region: Dune
I’m probably way off the mark though, this is just the stuff my brain linked to when listening to your OP.