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Using a hand mixer or stand mixer using the whisk attachment, beat heavy cream, powdered sugar, and vanilla until stiff peaks form.
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Line a loaf pan with plastic wrap.
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Spread a layer of whipped cream onto the bottom of loaf pan, top with half of diced conchas and strawberries, spread another layer of whipped cream on top of conchas and strawberries, top with remaining diced conchas and strawberries. Spread final layer over the conchas and strawberries.
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Cover the top layer with a plastic wrap and gently press to create an even bottom layer and secure layers.
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Place in freezer for at least 4 hours to overnight.
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Allow to soften in the refrigerator for 1 hour before serving or at room temperature for 10-15 minutes.
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Remove the cake from the pan using the overhang on the sides. Garnish with remaining concha sweet topping and diced strawberries.
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Cut into slices and serve cold.