OP, if you don't mind connecting in BOM, continental.com is showing ~$1300 from SEA to BOM. You can purchase a BOM-HYD leg for <$150 through one of the many Indian travel sites/airlines (makemytrip.co.in, 9W, IT, etc.). If you book via CO on the phone, they will gladly sell a BOM-HYD on IT along with your SEA-EWR-BOM. But if you book the same BOM-HYD directly through the IT website (i.e., unrelated to CO), your total fare is likely to be cheaper.
For a Sunday return, the LH flight from HYD is going to be more expensive (R/T >/~$1700).
Note the key phrase above, "if you don't mind connecting in BOM".