CzechCSA TATL?
 

Has anyone used CzechCSA across the Atlantic? I'm thinking that an BE award ATL-PRG-TLV-ATL would be much easier to obtain than DL, AF or CO. Also, there would be little question as to the routing. It appears that currently both DL and CSA are using 767s. The final return, TLV-ATL could then be on a DL 777.

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I am not aware of an OK ATL-PRG flight. I think you might be seeing a DL codeshare. That would be a DL 767 which would be better than the typical OK TATL service, which is similar to domestic F and not recommended.

CO doesn't serve PRG, so anything with a CO code is a codeshare flight. Look at the operating carrier to make that decision.

Czech only flies to PRG from JFK and uses an Airbus.

If you're going to transfer in Europe, all Skyteam flights are going to be pretty similar whether you use KL, AF, AZ, or OK from their hub to TLV. I'd focus on the best ride you can get across the Atlantic. As mentioned above, the OK A310 from JFK is going to be the least desireable way to do it. I'd only take that one if its the only possible choice.

If you can find availability, I'd probably take NW or AF first, DL second, CO third, AZ fourth, and OK last.