I can't seem to find where I can specify airlines in ITA - also Orbitz won't even look for a ticket for me starting from Tel Aviv... It is a pity that the alliances themselves don't have a joint schedule/price site or app.

After looking at LH's website, it might be time to try them out as I may be going regularly between TLV and GRU - it is interesting that they have a whole different outlook on how to run a FFP it would seem. It makes it very hard to try and compare...