COMBINE rice flour, baking soda and salt in small bowl. Beat butter, granulated sugar, brown sugar and vanilla extract in large mixer bowl until light. Add eggs one at a time, beating well after each addition. Gradually add rice flour mixture. Stir in morsels and nuts. Cover; refrigerate for 1 hour.
PREHEAT oven to 375° F. Line baking sheets with parchment paper or lightly grease. Roll dough into 3/4-inch balls. Place 2 inches apart on prepared baking sheets.
BAKE for 8 to 10 minutes or until golden brown. Cool on baking sheets for 2 minutes; remove parchment paper with cookies to wire racks to cool completely. Store in airtight container.