Sorry, but you'd be lucky to get a 6 month minimum contract, unfurnished rental with your budget, much less so for only two months, and no TV or telephone line.
You'll could try the back street flop houses and negotiate a deal.
One vague possibility, pushing forth from the dark recesses of my mind, is a place on 10th - I think it's opposite Plaza Pelicanos. You enter a doorway/alleyway and the rooms are at the back and above the shops. They'll be a chap in a small room on the ground floor.