Preheat oven to 400°.
To prepare crust, lightly spoon 2/3 cup flour into a dry measuring cup; level with a knife. Place 2/3 cup flour and 3 tablespoons sugar in a food processor; pulse 2 times or until combined. Add butter; pulse 6 times or until mixture resembles coarse meal. With processor on, slowly pour ice water through food chute, processing just until blended (do not allow dough to form a ball).
Firmly press mixture into bottom of a 9 x 3-inch springform pan coated with cooking spray. Bake at 400° for 10 minutes or until lightly browned; cool on a wire rack.
Reduce oven temperature to 325°.
To prepare filling, strain the cottage cheese through a cheesecloth-lined sieve for 10 minutes; discard liquid. Place cottage cheese in food processor; process until smooth.
Place 2 cups sugar and cream cheese in a large bowl; beat with a mixer at medium speed until smooth. Lightly spoon 1/4 cup flour into a dry measuring cup; level with a knife. Add 1/4 cup flour, sour cream, and remaining ingredients to cream cheese mixture; beat well. Add cottage cheese, stirring until well blended. Pour mixture into prepared crust.
Bake at 325° for 1 hour and 30 minutes or until almost set. Turn oven off. Cool cheesecake in closed oven 1 hour. Remove cheesecake from oven; run a knife around outside edge. Cool to room temperature. Cover and chill at least 8 hours.
Note: You can also make the cheesecake in a 10 x 2 1/2-inch springform pan. Bake at 300º for 1 hour and 30 minutes or until almost set. Turn oven off. Cool cheesecake in closed oven 30 minutes.
Because we wanted the height of a traditional New York-style cheesecake, we baked this in a springforn pan with high (3-inch) sides. If you're not sure about the dimensions of your pan, use a ruler to measure the inside of the pan. To prevent cracks and ensure a creamy texture, the cheesecake needs to cool gradually in the closed oven for one hour.