In all honesty, your chances are very slim. I have 5 - 1 BR apartments in the Carroll Gardens area ranging from 2200 to 3200 p/mo. None of them are in poor condition. If you need any help, feel free to call.
Prudential Douglas Elliman Real Estate
M: (212) 300-3919
D: (718) 935-6135
F: (917) 369-2690
325 Court Street, Brooklyn NY 11231
It is definitely possible as long as you are willing to pay the price. If you expectations regarding price are realistic, it can happen. I know some great rental agents in the area, if you want, contact me and I can put you in touch with them. Either way, good luck!
Mitchell S. Feldman
Associate Broker/ Director of Sales
Madison Estates & Properties, Inc.
Office: (718) 645-1665/ Cell: (917) 805-0783