You can get from HYD to CMB on the 30th, hang out for the afternoon/evening, and take the redeye CX flight to HKG (J9D9 all over the place) that connects to JFK.
Since you have to fly non-OW for the India internal legs, just make the last one HYD-CMB (around $400 in J) instead of trying to fly out of India on CX.
Of course it might be cheaper just to buy two open jaw returns - NY-LHR-BOS, then London - Delhi or an open jaw LON-DEL//BOM-LON or some such.
Even originating in the US you can still get the SAN and LAS trips handled within the rules of a DONE3; you just can't leave the US/Canada once you get back from Asia.