News flash: In the Torah and in Eretz Hakodesh, there is no second day. Period. There is no prohibition against flying out of EY on a day of chol and landing anywhere else. El Al is not obligated to honor your habit of keeping two full days in EY. Sit in JFK until the day is over and then have someone pick you up. Frum people do it all the time. Ask the poskim here in EY about this and that will be the answer you get.
In any case, next time look at a Hebrew calendar before you book a flight. It’s the calendar of the Jews that determines how we live, not the calendar of the goyim.