Grease a 9 X 13 dish with Butter, and set aside.  In a large roasting pot, over medium heat, melt the half stick of butter, and add the bag of marshmallows, and stir until completely melted.  Add the Cheerio's, and stir to coat the cereal.  Add the Freeze-dried Strawberries and Banana, and stir well to blend.  Place the Cereal mixture in the 9 X 13 dish, and spread evenly with a large spoon or spatula.

Place the dish in the refrigerator for about an hour, to completely cool, and bars to set.  Remove from the refrigerator, and cut bars in 2 inches by 3-inch pieces.  Melt the White Chocolate in the microwave, and dip the bottoms of the bars in the white chocolate, and drizzle a little on the top, and place a strawberry in the chocolate, in the center of each bar.   Place on Parchment paper until the white chocolate hardens, about an hour.  Serve, and Enjoy!