I emailed K.Linda Kivi, a fellow member of our local co-op radio who had done a programme once featuring CDs she brought back from the old country. She says check out these names:

Eesti Keeled - Kella Tiksumist and other CDs
Mart and Jaak Johanson
The Brothers Urb - Citizen of Sun (this one's largely in English but earlier recordings are in Estonian)
Vagilased - "ethno-regi-jazz"
Kirile Loo - Saatus - traditional music sooped up
Jaan Tate - Mine, mine (means go, go in Esto)
Kait Tamra -