Israel's neighbor from the East is a wonderful, peaceful and stable, filled with pleasant people as well as World-Class hotels.
Jordan is the Land of the Bible as part of Western Heritage as much as Israel. it is a country sprawling with Historical and Archaeological Sites, which will definitely leave a mark on you, irrespective of your background.
You could choose between a 5-star and a 3-star option, but in anycase a trip to Jordan is Fun, Safe and interesting.
Any trip to Jordan involves Seeing Petra, but assuming you dont know when you will be back (if at all...), in a matter of one week you could pretty much see almost the whole country.
If Nature, History, Bible and Archaeology are you thing, This kind of a trip to Jordan is perfect!
You could fly from Israel to Jordan for 30 minutes, or cross with a VIP service at the Sheik Hussein border crossing, next to Bet Shean.
We would start in Northern Jordan with a visit to Umm al-Qeis, otherwise known as Gadara, in the Land of the Gadareens from the New Testament, and view the Sea of Galilee from afar. than we would continue to one of the Dessert Fortresses, beautifully decorated with Frescos from Early Islam.
In Amman, the Capital City, we would visit the Biblical Site, the markets and spend our first night.
The next day we would embark to Ajlun for a visit to the gorgeous Muslim Fortress, followed by a visit to one of the best-preserved Roman City in the world, Jerash, definitely one of the pearls of the whole trip.
In The afternoon we would be back in Amman, with a visit to the original Philadelphia and its Theater. a visit to the Archaeological Museum would reveal what's the story behind Indiana Jones!
After spending another night in Amman, we would visit on our Third Day the Outstanding Car Museum, and continue down South to Hisban, where the Bible will come alive when we read from it. further down south is Madaba, with its unique Mosaic Floor Map from The 6th Century AD. After Lunch we would continue to Mount Nebo, and get to see what Moses saw more than 3000 years ago (only he didnt get to visit it, like you...).
Than you could choose between 1-night stay in either one of the hotels by the Dead Sea, in Madaba itself or in a Spa Hotel next to a wonderful 150-foot tall Hot springs. whatever you choose will be relaxing for you!
On your fourth day we would Visit Mukawer, the place where John the Baptist was executed, also known as "Massada of Jordan". than we would continue to Umm-al-Rasas, a world heritage site known for its amazingly-preserved Mosaics.
After lunch in Kerak, we would visit the formiddable Crusader Fortress, and than drive Along the Kings' Highway and Wadi Al Mujib to Wadi Musa, where we would spend our 4th night.
We would start the 5th day with a visit to the Carved-out-of-the-bed-rock Nabatean City of Petra, one of the 7 wonders of the world. after lunch an optional tour will involve Jeeping and some Hiking to the Awe inspiring Views from the place of Aaron's Tomb.
After another night in Petra, we would relax in the morning of the 6th day, enjoy the Hotel Facilities, and leave in Early Afternoon to Wadi Rum, the Battle Scene of Lawrence of Arabia during WW1, enjoying a Sunset Jeep Tour and an Authentic (Authentic!!) Beduin Dinner, spending a night in a Beduin tent.
On our last day, we would start at the crack of dawn with a Baloon Flight above Wadi Rum. after breakfast we would catch on some sleep while driving along the Arava Valley, stopping on the Way in Jesus' Baptismal site on the Jordan River, and make it back in late afternoon into Israel - Happily and everafter!