New Jersey s probably your best bet. Fort Lee ( Right across the GWB bridge like 5min from Washington Heights, Manhattan minus the ghetto neighborhood) Edgewater ( Lots of japanese ) Hoboken NYC: Brookyln, Queens. Although neighborhoods in BK like Park Slope and Willimasburg are getting extremely gentrified and some apts cost as much as one in the Upper East Side.
Here are a few real estate sides that have apartment and condo listings in NYC and nearby. Most of the listings have pictures of the places:http://www.citi-habitats.com/http://luxurycondonyc.com/http://www.corcoran.com/newyork/
You should contact RE agent. However, before showing anything they will ask questions on income and so on, so just be prepared to answer them.
Try East New York, you will love it there. Plenty of condos with great amenities and great prices