Royal Jordanian has round-trip flights from Chicago (ORD) to Tel Aviv-Yafo (TLV) for $625 with a connection. Flights October to December. Departures on Thursday, Saturday, and Sunday.
Some small OTAs on Skyscanner have this for cheaper than the airline, about $586. If you plan on booking there, beware of any site that charges a fee to cancel a ticket within the 24-hour “free” period. Use unknown booking sites at your own risk.