Line a 9×13 inch baking pan with a piece of parchment paper or lightly grease the pan with oil. Set aside.
Melt the butter over medium heat in a large pot. Within 2-3 minutes the butter will start to foam, whisk constantly until the butter begins to brown, then turn down the heat to low.
Add the marshmallows, reserving 2 cups aside. Continue to stir for 2-3 minutes until the marshmallows are melted. It's ok if there are a few clumps. Stir in the vanilla and salt.
Add half of the cereal to the pot, and continue to stir. Fold in the remaining cereal and marshmallows, then remove the pot from the heat. Mix until well combined.
Carefully pour the mixture into the prepared pan. The marshmallows will be very sticky, therefore an easy way to spread out the mixture is by using a greased rubber spatula. Gently press the mixture down into the pan with the spatula but avoid packing. This will allow the treats to form together but not overly harden.
Cover the pan with aluminum foil and allow the treats to set at room temperature for 1 hour. Begin making the chocolate eyes. (Full Instructions Below). Skip this step is using candy eyes.
When ready, cut the krispy treats into 16 squares. Line a large baking sheet with parchment paper and set it aside.
In a medium-size bowl, add the divided part of the white chocolate chips and coconut oil. Microwave for 30-second intervals, until fully melted, stirring every 30 seconds. Once the chocolate is fully melted, dip the front of each rice krispy square, submerging about ⅔ of the way through, shaking off any excess chocolate. Set the rice krispy treats onto the parchment paper, noncovered side down. Remove the eyes from the freezer and carefully add them to the top half of the treats, sticking to the white chocolate. Once all the eyes are added, place the treats in the freezer for ten minutes. Do not add the white chocolate bandages until the end.
Pour the remaining white chocolate into a plastic pastry bag and snip off the end. This will be used to create the bandages. After 10 minutes remove the treats from the freezer and carefully pipe zig-zag lines across the mummy, leaving the eyes visible, creating the bandage look. The chocolate will freeze quickly due to the cold rice krispy treats. Allow the treats to set for 10 minutes.
Serve. Store in an airtight container for up to two days.