Line the springform pan with plastic wrap, making sure to overlap, and cover the bottom and sides of the pan, so that no filling leaks through. Leave 6 inches of plastic wrap overflowing from the top of the pan (this will be used later to cover the assembled layer cake).
Slice the cake baked with 2/3 batter, (the larger of the two) in half.
Layer the bottom of the sliced cake into the bottom of the springform pan. Make sure the edges of the cake fit snugly against the side of the plastic wrap in the spring form pan.
Slather a generous spoonful of strawberry puree over bottom piece of cake, adding more as needed to cover the bottom piece.
Lay the top of sliced piece of cake over strawberry puree, making sure to fit snugly into place.
Next, spoon creme fraiche with strawberries over top, smoothing as you spread up to the edges of the plastic wrap in springform pan.
Add the final cake (the smallest one) over the strawberry studded creme fraiche. Push the top cake down slightly and cover with extra flaps of plastic wrap. You can always place more plastic wrap over top if needed.
Place strawberry shortcake in freezer for at least 12 hours and up to 3 days.