Preheat the oven to 425 degrees F. Place six 6-ounce ramekins into a 2-inch-deep baking dish and spray the ramekins with canola oil.
Combine the flour, oats, butter, brown sugar and salt in a small bowl. Mix until crumbly using your hands. Divide the mixture evenly among the ramekins, and then press down gently to the bottom. Bake for 15 minutes, then let cool.
Turn the oven temperature down to 350 degrees F.
Combine the unrefined sugar, coconut milk, vanilla, eggs, cream cheese, lime juice and zest and evaporated milk in a blender and blend for 30 seconds. Divide the mixture evenly among the ramekins and place into the baking dish. Pour hot water one-third up the sides of the ramekins to create a water bath. Bake until the flans set, 45 minutes.
Cool on a wire rack for 20 minutes, then refrigerate for at least 1 hour.
Run a knife around the inside of the ramekins to loosen the flans. Turn upside-down onto a plate. Serve with fresh berries.