Bake brownies according to package directions at 350°F for about 25 minutes in a greased 9x13 pan. Let cool completely, then cut into 1-inch squares.
Prep strawberries by removing stems and patting dry with paper towels to remove excess moisture.
Thread skewers starting with a brownie square, then strawberry, then marshmallow. Repeat pattern 3-4 times per skewer, leaving 1 inch at bottom for holding.
Melt chocolate chips in microwave using 30-second bursts, stirring between each interval until smooth (about 90 seconds total).
Drizzle chocolate over each assembled kabob using a spoon or piping bag. Place on parchment-lined tray.
Refrigerate for 10-15 minutes until chocolate hardens before serving.