Spotted on Google flights:
https://www.google.com/flights?lite=...1*2.USD.200681
Decent availability starting from late August through end of year. All segments in J. Outbound features a 2 hour layover in DOH whilst the return is 8 1/2 hours. Cannot comment on QR, I hear they are a decent airline and suspect the OW earning may be valuable to some.
Safe Travels,
James