Pop the butter cubes into the freezer for 10 minutes. Line a large baking sheet with parchment and set aside. Preheat the oven to 400°F (205°C) with a rack in the center.
Toss the blackberries with 1 teaspoon of the flour blend and set them in the fridge. This light coating helps keep the juices from tinting the dough purple.
In a large mixing bowl, whisk together the remaining flour blend, sugar, baking powder, salt, lemon zest, and cardamom.
Add the chilled butter to the dry ingredients. Using a pastry cutter or your fingertips, cut the butter in until the mixture resembles coarse crumbs with some pea-size bits throughout.
In a separate bowl or measuring cup, whisk the egg, egg yolk, milk, vanilla, and 1 tablespoon of the honey until smooth.
Create a well in the dry mixture. Pour in about three-quarters of the egg-milk mixture and stir with a fork just until large clumps form. Gently fold in the floured blackberries, adding more liquid a tablespoon at a time only if the dough feels dry. The dough should look shaggy but hold together when pressed.
Scrape the dough onto the parchment-lined sheet and dust lightly with the remaining flour as needed. Pat into a 6×9-inch rectangle, about 1 inch thick. Using a bench scraper, fold the rectangle in thirds like a letter, rotate 90 degrees, and pat back into a 7 1/2-inch square. This quick fold builds layers without overworking the fruit.
Cut the square into 4 smaller squares, then slice each diagonally to make 8 triangles. Space them an inch apart and slide the pan into the freezer for 10 minutes to firm up the fat for better rise.
Stir the remaining 1 tablespoon honey with 1 tablespoon non-dairy milk. Brush a thin layer over the tops of the chilled scones.
Bake 18–20 minutes, rotating the pan halfway, until the tops are golden and the edges feel set. Cool on the pan for 10 minutes before serving warm.