basiclly the fastest and chipest wey will be bay bus.
you need to take an egged bus with any number that starts with 800 (879. 869.etc)
to tel aviv and from there take a filght to aqaba.
there are more direct weys but it includes moving in conflict zone witch i strongly advise not to do.
good luck :) about 5 years ago
You can take a bus from Nazareth to Haifa (check times and bus stop info beforehand) then a short train ride towards Tel Aviv where you can stop at Ben Gurion airport and fly with El Al or similar airline to Eilat. Then get a taxi to the Israel-Jordan border and another taxi on the other side of the border into Aqaba. Border crossing fee was around $20 when I went in June 2013. over 4 years ago