Royal Jordanian (RJ) is a oneworld member based in Amman (AMM). It flies across the Middle East and Europe plus nonstops to New York and Chicago, and it is the natural award routing for a trip to Petra, the Dead Sea, and the rest of Jordan on oneworld miles.

Because Royal Jordanian is in oneworld, you can book its award space with partner miles, including:
The easiest place to search is the British Airways website. BA displays oneworld partner availability, including Royal Jordanian, and you can search without holding any miles.
Log in to your Executive Club account on britishairways.com. If you don’t have an account yet, signing up is free and takes a couple of minutes.
Go to Executive Club, then Spending Avios.
Under Choose your Reward, click Book a reward flight.
Enter your trip details:
Then click Get Flights.
If you get a prompt about changes to reward flight fare prices, accept the terms and click Continue. If a pop-up asks about adding a stopover, choose No, I want to continue without stopovers.
Note down every Royal Jordanian flight showing award space: flight number, date, and cabin. Use the weekly date strip to scan nearby days. The US nonstops carry most of the award demand. European connections via AMM often have more space.
Now book with the program your miles live in. If it’s Avios, you can finish the booking right there on ba.com. For other programs (AAdvantage, Mileage Plan, Asia Miles), check their website first, since most can book oneworld partners online now. If the flight doesn’t show, call the program and read the agent the exact flights you found. They should be able to see and book the same space for you.