Pickings will be very slim getting anything without transiting the US, particularly when you're after 4 business seats. If you can go via Asia, then CA has a pretty good product with good award availability, and no transit issues any longer via PEK or PVG. TK is opening up more flights from the west coast, SFO being the best new option. IIRC you can backtrack to FCO from IST...and you've got a great lounge with a fab kids area. (Not sure how AC calculates the YQ between YEG and your gateway for its flight.) Also thought LX has embargo'd premium awards. As for LOT, just not enough seats per 787 flight to see four going as awards...and you'd likely have better availability ex-ORD than YYZ or NYC.