Get to Wadi Rum!
It's a desert area and pretty close to Aqaba and it's an AMAZING place. There are many little bedouin camps in Wadi Rum, pick either one because it doesn't seem to matter much.
When you plan this, try and do some excursions in Wadi Rum when you can afford it. The more impressive wildlife (jackals, hyena's and the sorts) live deep into Wadi Rum and although there's little chance you might see something, you're bound to see nothing (as in, except a few birds and perhaps a few little night time critters like hedgehogs) when you stay close to Rum village and the bedouin camps, but many (if not all) would probably be willing to take you deeper into Wadi Rum if they can.
Also get to Petra, but that's like, duh...
We were in Jordan in 2012 and it is an amazing place (we just saw Petra and Wadi Rum and we loved the people as well. Stunning country.