Why’d you’d choose Nice of all places? It isn’t on the way either since there aren’t (AFAIK) any nonstops NCE-NYC and your only option TLV-NCE direct is EasyJet. So you don’t be able to book NYC-TLV-NCE-NYC.
Aren’t you better off either staying in Israel or booking NYC-TLV-<another stopover destination>-NYC?