Unless one has "Proper Cause", one cannot obtain an Unrestricted CCWP or "Full Carry" in Westchester County. If you can demonstrate a need, such as type of profession SECURITY, PI, NUCLEAR PHYSICIST, then one may have a chance.
Keep in mind that the political atmosphere may change with the upcoming Supreme Court Ruling Re: Mcdonald v. City of Chicago. The premise of the case is "Does the 2nd Amendment Apply to a state level". Should the court rule yes, which it is anticipated to rule, then the New York State legislature WILL have to ease their ONEROUS RESTRICTIONS ON PISTOL PERMITS.