Add the butter, cream cheese, hot cocoa mix, and cookie crumbs to a large mixing bowl and mix with an electric mixer until very well combined.
Add ¼ cup chocolate chips and ¼ cup dehydrated mini marshmallows to the mixing bowl and mix with a rubber spatula until fully incorporated.
Dump the mixture out onto a piece of parchment paper, form it into a ball shape, and wrap it up in the parchment paper.
Refrigerate the cheeseball for a minimum of two hours.
Remove the cheeseball from the refrigerator, unwrap it, and smooth out the sides if needed.
Combine the remaining ½ cup of chocolate chips, dehydrated marshmallows, and the sprinkles in a medium bowl and roll the cheeseball around in the mixture until fully coated.
Serve the cheeseball with cookies and graham crackers.