Use Kiwi.com and play with the filters.
The beauty is using the disadvantages of the layovers for the good.
Visiting places + (saving a ton * family members).
To TLV I visited, starting my trip in Europe, Athens, Warsaw, etc.
For instance in Warsaw, I flew into one airport early morning, rented a car ($35 Ford C-max) and visited the place, and returned the car by the other airport.
Athens I stopped for a day + night, and slept at an Airbnb.
In both instances I saved per person, After the extra stopover expenses approx $200-$300.
Another way is to look via the sites that allow that, for the cheapest destination in Europe, and you check a day or 2 later from that place to TLV. If from that place to TLV it is expensive, scratch that place and take the next one.
Good luck