Beat butter, vanilla, salt, and sweetened condensed milk in a large bowl with an electric or hand mixer. Slowly beat in powdered sugar until mixture comes together. You should be able to form balls of candy that hold together.
Drop tablespoon sized balls (rolled) onto a wax paper lined cookie sheet. Chill until ready to use, at least 30 minutes.
When ready to make candy, line a new cookie sheet with wax paper. Melt your chocolate according to package directions. If it’s cold in your kitchen, it might be helpful to line an electric griddle with an old kitchen towel on low heat (about 200 degrees) and place the bowl of melted candy on top. It keeps the candy warm for you.
Place 1 teaspoon of chocolate evenly spaced on the prepared cookie sheet, one for each ball of candy you made. Spread it slightly. Place a rolled ball of candy in the center of each teaspoon of chocolate.
Mix the chopped peanuts into the remaining chocolate. Cover each ball of candy with 1-2 teaspoons of peanutty chocolate. Use your spoon to spread it so that the chocolate top meets the bottom under the ball, to seal. Chill to harden.