Used to pay $2,800 for a (horrible) place in Jordan. Wouldn't recommend it. Pay a bit more and you won't be living among prostitutes and insane old folk.
You won't find listings online. Visit the smallest estate agents in the area - look around Temple Street for Jordan. Most of them speak English as they deal with a lot of Nepalese. Bargain hard and be prepared to walk a lot of stairs.
It's not easy to live on $7-8K after rent, but it's definitely doable and at least you won't be paying tax.