1In large microwavable bowl, microwave butter, chocolate chips and peanut butter uncovered on High 1 minute to 1 minute 30 seconds, stirring every 30 seconds, until melted and smooth. Stir in cookie mix and egg until well blended. Refrigerate dough 30 minutes or until firm enough to scoop.
2Heat oven to 375°F. For each rounded measuring tablespoon dough, place 1 peanut butter cracker in center, forming dough into ball around cracker. Onto ungreased cookie sheets, place dough balls 2 inches apart.
3Bake 9 to 11 minutes or until tops are dry (cookies will still be soft). Cool 1 minute; remove from cookie sheets to cooling racks.
4In 1-pint resealable food-storage plastic bag, add peanut butter chips and oil; seal bag. Microwave on High 1 minute, kneading bag after 30 seconds, until melted and smooth. Cut 1/8-inch slit diagonally across bottom corner of bag. Squeeze drizzle over cooled cookies. Let stand until set. Store in airtight container.