That's sad to hear about 3rd Ward, thank's for pointing that out.
You are right about the dead spots around the city, like Midtown East and Battery Park, there are a few dead spots where it is really lively during work hours but in the evening you have to travel a stop or two to find some action and good grub.
@throwmeaway2525 : streeteasy.com has alot of listings and you can always negotiate with the agent in regards to fee. I just found my cousin one in Hell's Kitchen for $1900 and it's a studio. Also take a look at Stuyvesant Town and Peter Cooper Village, they are renovating all of the apartments and you can get a 1 Bedroom in a 2 Bedroom share for around $1600. They are larger apartments and it's a great size room for the price and location.