In a medium bowl, combine the cream cheese, white cheese, heavy whipping cream, sugar, vanilla pudding mix, and vanilla bean paste. Using a hand mixer, whip the mixture until it forms a stable, creamy texture. Set aside.

In a large bowl, whisk together the eggs, milk, water, and sugar until fully combined. Gradually add the flour, whisking continuously, until the batter is smooth and free of lumps.

Heat a lightly greased skillet over medium heat. Pour a small amount of batter into the pan, swirling to coat the surface evenly. Cook each blintz for about 40 seconds on one side, until golden, then flip and cook for another 40 seconds. Transfer to a plate and repeat with the remaining batter.

Allow the blintzes to cool slightly. Using a piping bag, fill each blintz with the prepared cheese filling. Roll them tightly and arrange on a serving platter. Dust with powdered sugar, drizzle with maple syrup, and garnish with fresh berries. Serve immediately and enjoy!