Preheat oven to 350. In large bowl, beat butter, sugar, brown sugar and peanut butter with electric mixer on medium speed until creamy. Beat in egg until blended. Add bisquick, beating on low just until blended. Stir in toffee bits, peanuts and 2/3 cups of the chocolate chips. Onto ungreased cookie sheets, drop dough by the rounded tablespoons 2 inches apart, flatten with hand.
Bake 10-12 minutes or until golden brown. Cool 1 minute, remove from cookie sheet to cooling racks. In microwaveable bowl, microwave caramels and 2 tablespoons of heavy whipping cream uncovered on high for 1 minute, stir. Microwave 1 minute longer, stirring every 30 seconds, until caramel is melted and mixture is smooth, add remaining tablespoon of heavy whipping cream, if necessary. Stir in vanilla. Spoon caramel mixture onto tops of cookies. Melt remaining chocolate chips, drizzle over caramel.