These are the totals that IDDEALS are giving:

AMS 2/28 - 3/1 KLM around 40 KQ about the same. 3/2 both showing +50

It looks like that's your best bet. I don't see any direct flights from ZRH, only through IST. Those flights both around 20 seats.
Another option: DXB on emirates. They have 2 direct flights per day, big 777's and show close to 50 open seats. (And Delta flies directly to DX