September 28 and 29 there is free access to Petra as part of International Tourism Day. There might be some people around, who do not have a residency visa and were hesitant to pay the high entrance fee. If there are enough people I might drive you down there on Thursday along the magnificent Namallah Road. From Friday morning onwards you're on your own. Either share a taxi or take the bus back to Amman. The schedule of the JETT bus can be found here: Protected content If there are no people leaving on Friday, book the JETT bus online and leave Friday morning. NOTE: people without residency have preference!!!!