I treated to help you giving you a couch but now I´m having some problems, however if tomorrow I can, I´ll post it here at the morning.
I know about a hotel close to Reforma, a very important avenue of the city, called "EL CONSUL" It costs 20 dollars per night, It´s a good place for tourists and cheap.
It´s close to Paseo de la Reforma, an important avenue. over Insurgentes avenue, another one. Just few steps from metrobus REFORMA. It can be difficult if you don´t speak spanish so I can go for you to the airport ha ha
I´m sorry for your situation so good luck. I can show you the city as well, I really know about a lot of places to see.
my e-mail firstname.lastname@example.org
my cell: 044-55-47-57-64-79