Bake the cake according to box instructions and let it cool completely.
Line a baking sheet with wax or parchment paper and set it aside.
Once the cake has cooled, use your hands to crumble it. Add ½ cup of frosting and mix into the crumbles using your hands. Add one tablespoon more of frosting at a time until you can easily roll the cake into a smooth ball.
Then, roll all of the cake mixture into balls: roll half of them into 1 tablespoon-sized balls and half into 1 ½ tablespoon-sized balls (there should be 18 of each, 36 in total). Place the balls on the baking sheet lined with parchment paper.
Once they're all rolled out, place the baking sheet with the cake balls in the freezer for 15 minutes.
Add half the candy melts and vegetable oil to a two-cup measuring cup and microwave for 1 ½ minutes. Stir, and then microwave for an additional 15 seconds. Stir again until smooth. Microwave for an additional 15 seconds if needed.
Before coating the cake balls with candy melt, gently squeeze the balls to secure them on each cake stick. If the balls come apart when the stick is shoved into them you'll need to recrumble your cake balls and add more frosting, remake balls and refreeze for 15 minutes.
Dip ½ inch of the end of a stick in the candy melt. Then insert it through the center of one of the larger balls, with ¼ inch of the stick popping through the top. Dip again in the candy melt coating the top of the stick. Top with one of the smaller balls. Submerge the whole cake pop fully into the candy melts.
To remove the excess candy melt, gently tap the stick of the cake pop against the edge of your measuring cup while slowly twirling it. Don't tap too hard or the cake pops may split or fall apart.
It’s also important to immediately remove any cake crumbs that may fall into the candy melt as you’re dipping the snowmen.
After placing a big and small ball on your stick and successfully dipping it, insert the bottom of cake pop stick into a block of styrofoam to keep upright as it dries and hardens. Repeat with the remaining cake pops.
You’ll need to melt the second half of the candy melts in a clean or new measuring cup about halfway through all of your dipping.
By the time you've finished assembling the last snowman, the first ones should be dry enough to draw on the eyes, mouth and buttons with black icing and the nose with orange icing.