I can recommend the CD, Michael Alpert and Julian Kytasty, Night Songs from a Neighboring Village; Ballads of the Ukrainian & Yiddish Heartland. Alpert is a klezmer, known from Brave Old World and other bands, and plays violin, guitar, and accordion. Kytasty plays bandura and sopilka. The whole album is up at https://youtu.be/qVcseYAC7iM but why not buy yourself a copy? Oriente RIEN CD 86.

Also, didn't Where Have All The Flowers Gone have a Ukrainian origin, before Pete Seeger brought it to the folk repertoire?