N.Y. General Municipal Law § 239-E
4. Adoption, amendment. After the conduct of a public hearing, as hereinafter provided, the county legislative body may adopt an official map covering the entire county, or portions thereof, and amend such map whenever it may deem it to be in the public interest.
7. Appeals. If the land within a right-of-way or site shown or laid out on the county official map is not yielding a fair return on its value to the owner, the owner may appeal to the zoning board of appeals, if any, or other board established by the municipality in which the land is situated to issue variances or make exceptions in zoning regulations.