Preheat the oven to 325°F. Grease a 9-inch round cake pan with coconut oil and line the bottom with parchment paper.
In a stand mixer or large bowl with electric beaters, mix the avocado oil, honey, lemon juice, and vanilla until smooth.
Add the eggs and milk and mix again until fully combined.
In a separate bowl, whisk together the almond flour, coconut flour, arrowroot starch, baking powder, and salt.
Add the dry ingredients to the wet ingredients and mix until smooth.
Set aside 5–6 strawberries. Roughly chop the remaining strawberries into small pieces. Cut the reserved 5 or 6 strawberries in half and set aside (we'll use those for the top of the cake).
Gently fold the chopped strawberries into the batter.
Pour the batter into the prepared pan. Arrange the halved strawberries on top, cut side down.
Cover the pan loosely with foil and bake for 20–25 minutes.
Remove the foil and continue baking for 20–25 minutes, until the edges are set, the center is no longer jiggly, and a toothpick comes out mostly clean.
Let the cake cool in the pan for 20–30 minutes before removing. The cake will continue to set as it cools.