Air France/KLM Riga - Dubai €890 r/t - J Sept 18 onwards
Long time since I posted but saw this and on looking yesterday. Looked a good price but routes via CDG on AF or AMS on KL.
Uses CS3000 on air Baltic and a 777 on Air France.
website states min 7 day and "You will be travelling in Z/J Class with fare basis Z6LSFI"
Hope someone finds its useful!