I did some research and came up with a comparison of Independent Travel from Eilat VS. Guided Tour from Eilat.
For fellows contemplating to travel independently from Eilat to Petra i believe below is an approximate cost breakdown. Compare this with Desert Eco Tour's USD 369 (+$35 single supplement). In the comparison, taxes/tips are not included. The difference is approx $130. Of course , less the hustle for guided tour. For independent traveler, the fun is there when hopping one place to another and the feeling of a "traveling" .
After doing this, i myself is confused which way to go...hahahah. DEs, does this comparison makes sense? Please correct the figure(s) below if its way too far from reality.
Eilat-Arv Border 10.2(35NIS)
Border- Aqaba City 7.8(11JOD)
Aqaba- Petra 32.0(45JOD)
Petra Entrance 39.1(55JOD)
Petra -Aqaba 35.5(50JOD)
Aqaba- Eilat 10.2(35NIS)