How are you? I hope you're doing well.
That budget is quite low for a standard market rate rental of a 2 bedroom apartment. If you're still in the market for a place I would suggest that you check out this new construction project at 2311 Tiebout Avenue because there are a number of units there which are priced below market for moderate income wage earners. Here's the link http://www.nyc.gov/html/hpd/downloads/pdf/Tiebout-Avenue.pdf
I wish you all the best in your search for a new home :-)
Licensed Real Estate Broker
Gorick Realty, Inc.
View listings at http://www.gorickrealty.com
"Home is where the heart is."