In a small bowl, combine the strawberries and sugar and let steep at room temperature for 1 to 2 hours.
Set the oven rack at 3 inches of the grill. Preheat the grill.
Place two small ramekins or baking bowls on a baking sheet and divide the strawberries in the ramekins. In a measuring cup, combine the sour cream and vanilla extract and place on the strawberries.
Sprinkle each ramekin with 1 tbsp of brown or maple sugar. Cook under the grill for 4 to 6 minutes until the sugar is melted. Cook 2 to 3 minutes before serving.