Whisk flour, baking soda, and salt in a bowl. Set aside.

Beat butter in the bowl of an electric mixer on medium speed until light and fluffy. Slowly pour in oil while the mixer is running. Add sugar, powdered sugar, eggs, and vanilla. Slowly add the flour mixture, mix until flour disappears. Chill for one hour, or overnight.

Preheat the oven to 350°. Line two baking sheets with parchment paper. Scoop with a 1 Tablespoon ice cream and roll into balls. Roll balls in coarse sugar and place on baking sheet 3 inches apart. Flatten slightly. Bake for 15 minutes or until the edges begin to brown. Cool for 5 minutes on baking sheets and cool completely on wire racks.