I am planning a short winter vacation in Israel and the (award) flight back I found goes through Amman and so I thought I would visit Petra and perhaps more on the way back cos why not.
So, I will be in Tel Aviv or Jerusalem or something, the whole country is rather small and I would like to get to Petra. I really, really badly do not want to haggle with anyone -- everything I read includes "oh go to the border walk over and take a taxi but don't let them rip you off". Thanks but no thanks. This is non-negotiable, please refrain from answering "it's not so bad" -- I've been to Israel a few times and I can imagine how bad it is across the border. A guide would also be great in Petra. I would perhaps start out on a Friday morning and need to be at the Amman airport Sunday 11am.
So is there a two-day guided tour to Jordan starting from Israel where I can save some money (and time! -- if the tour terminates at an early hour because people need to get back to Israel, not so good) by not coming back? As this is unusual, perhaps part of a three-day trip? Or would an arranged private tour be very expensive? (more than a few hundred dollars is very expensive for this)
Edit: also, if possible, I'd rather not fly to Eilat -- last time I was flying within Israel I got strip searched which in itself wasn't as big a problem as it sounds, but the whole security process took a real long time and time is of essence here. Of course, if that's what it takes, I'll risk it.