In a medium bowl, whisk the eggs together until smooth. Add cream, stevia drops, and coconut flour, whisking until well combined.
Heat a 9-inch non-stick metal skillet over medium heat. Melt butter, swirling evenly so the whole pan is coated.
Pour the egg mixture into the center of the pan and stir it vigorously with a rubber spatula until a semi-solid mass (similar to very wet soft scrambled eggs) begins to form, 5-10 seconds.
Lift the pan and swirl it around, allowing the excess egg mixture to reach the outside of the omelet. Scrape the spatula around the edge of the egg mixture, loosening it and helping it form a circle.
Sprinkle chopped berries over ⅔ of the omelet. Allow it to sit in the pan for 10 seconds undisturbed, then shake it again to loosen it from the pan.
Use the spatula to fold the third of the omelet that has no berries over toward the middle. Slide the omelet onto a plate and fold it over to create a tri-fold, if desired.
Serve immediately with some whipped cream and additional fresh berries.