I am sorry to tell you that FHA does NOT make loans on coops. The FHA program is oriented primarily towards homes. Condominiums can be financed under certain circumstances, but in Westchester there are very few that qualify. Coops have never been part of the program.
SONYMA is a New York State program that does lend on coops in certain circumstances, and you have to qualify in terms of income limits etc. While they offer a "rehab" loan it does not apply to coops.
There is one other program that offers up to $30,000 in closing cost/downpayment/rehab assistance, but it has strict income limits.
If you would like more information pleae email me and I will send you in the right direction!
Peter A Harris, ABR
Licensed Associate Real Estate Broker
Houlihan Lawrence Inc.
4 Valley Road