Pre-freeze your ice cream maker according to the manufacturer’s instructions (usually overnight).
Combine the frozen strawberries and lemon juice in a food processor and pulse until the berries are a granular consistency.
In a medium-sized saucepan, combine 2 cups of heavy whipping cream with the sugar and brown sugar and the strawberries. Heat over medium heat, stirring frequently just until the mixture starts to boil.
Remove from the heat and transfer to a heat-proof bowl. Stir in the remaining 1 cup heavy whipping cream and the vanilla extract and stir to combine. Cover the mixture with plastic wrap and refrigerate for a minimum of 2-3 hours until the mixture is completely cooled. Mixture may thicken, re-stir prior to churning.
Add your mixture to the ice cream machine according to the manufacturer’s instructions. Churn the ice cream for about 8-10 minutes or until the mixture is thickened to a soft-serve like consistency.
Transfer to a freezer-safe container and freeze for 4-6 hours until firm. I recommend allowing the ice cream to soften for about 20 minutes before serving.