Having now done the trip in March, I would say the following:
Waterproof walking shoes were very useful as it was really wet at Jerash.
We had only 3 sunny days and the temperature was mostly pleasant to cool. I was glad of jeans and a medium weight jacket at Wadi Rum.
Binoculars are not a good idea. One of our party had theirs confiscated at the Dead Sea hotel and, having put mine in my suitcase, had to find them at Amman airport on the way out so they could see they were not 'red line'.
This is a very full-on trip. It is 6 full days only as days one and eight are just travelling. We got to bed around 2.00 a.m. on the Tuesday we arrived and were up early the next day.
There is a lot of walking involved.
It was a fantastic trip, but totally exhausting.
I hope someone finds this helpful.