Recently, for backpacking with few resources, the most expensive to visit New York is undoubtedly the accommodation. The problem becomes bigger if we sleep in the same Manhattan.
A more affordable option (sometimes incredibly cheap hotels is to stay in a residence belonging to one of the religions that have headquarters or convent in the same hoteles en nueva york.
They tend to be cheaper than most hotels and are simple but clean and reliable. Only require respect and no fuss, so it is indicated for travelers after they were kicking all day the Big Apple want to retire to rest. Moreover tend to have a schedule narrower than regular hotels.
One that you can recommend with good references in the Sacred Heart Residence, belonging to the Catholic order of the Sisters of St. Josephhotels of the Mountains. This residence, only to women, is located in the middle of Manhattan and the prices are relamente interesting: On day 50 U.S. dollars per week and 240 in a double room with private bath. This gives you the right price, in addition to breakfast and dinner daily except Saturdays, Sundays and holidays. At this price we have to add U.S. $ 50 prior to the reservation. In total a week goes by less than $ 300, to change, some 30 euros night ...

His address is:
SACRED HEART RESIDENCE
432 West 20 Street
New York, New York 10011
(212) 929-5790