Preheat the oven to 450°. Use a nonstick cake pan or baking sheet.

Whisk together the all-purpose flour, rye flour, baking powder, salt, and caraway seeds in a large mixing bowl.

Mix together the olive oil and milk in a small bowl. Make a well in the center of the flour mixture and add the olive oil and milk. Starting at the sides of the bowl, use a spatula or wooden spoon to toss the flour over the milk. Continue to work in the flour from the sides of the bowl, just until the dough comes together.

If the dough starts to pull away from the sides of the bowl and sticks to your fingers, you have the right amount of milk. If there are dry spots and the dough isn’t sticky when you touch it, add more milk.

Dust a surface with all-purpose flour and turn the dough out onto the surface. Flour your hands, then cuddle the dough by pressing your hands around the outer edges. Pat and press the top of the dough with your floured hands. Fold the dough in half, pat it, and fold it again. Repeat this two or three times until the outside of the dough feels less sticky and becomes smooth.

Use a rolling pin or pat the dough 1⁄2 inch thick.

Cut the biscuits using a 3-inch biscuit cutter without twisting the cutter, or for large sandwiches, cut the dough in half with a bench knife, and then cut around the edges to make 2 large squares. Place the biscuits in the cake pan or baking sheet so they touch if you like soft sides or about 1⁄2 inch apart for crisper sides.

Bake the biscuits in the center of the oven until they’re light golden brown, 15–20 minutes. Brush the tops with melted butter.

To assemble the sandwich, slice each biscuit in half horizontally once the biscuits have cooled slightly. Spread dressing on each cut side, then place sauerkraut, corned beef, and a slice of Swiss cheese on the bottom half of the biscuit. Top with the other half, dressing-side down. Butter the outside of the biscuits and place them in a skillet over medium-high heat, cover with a lid, and cook to brown the outside and melt the cheese, turning once.