This is not really an answer, but we have viyoginī listed in our table of prosodic patterns for the DHARMA project.
sa-sa-ja-ga/sa-bha-ra-la-ga
Apte 1890, Appendix A: Sanskrit Prosody, page 11, № I.B.4.
Velankar 1949.
Zoetmulder 1974.
I have just completed the Zoetmulder reference in the source file but the html still needs to be updated. We still have to complete the Velankar reference.
On p. 470, Zoetmulder 1974 (Kalangwan: A survey of Old Javanese literature) cites a few occurrences from the 9th-c. Kakavin Rāmāyaṇa and associates the name Prabodhitā with this meter. I haven't attempted to track down his source for this name.