Preheat the oven to 200°C and line a baking sheet with a silicone mat or parchment paper.
In a medium saucepan bring water, milk, butter, sugar, and salt to a boil over medium heat until butter is fully melted.
Add sifted flour all at once and stir vigorously with a wooden spoon over medium heat until a film forms on the pan and the dough clumps, about 2 to 3 minutes.
Transfer the hot dough to a mixing bowl and beat on low for 1 minute to cool slightly before adding eggs.
Beat in the eggs one at a time until the dough is smooth, glossy, and forms a V-shaped ribbon from the spoon.
Pipe 10 logs about 12 cm long onto the prepared sheet using the large round tip, spacing well apart.
Smooth any peaks with a damp finger and mist lightly with water to promote puffing.
Bake at 200°C for 10 minutes, then reduce to 175°C and bake 20 to 25 minutes more until deeply golden and hollow-sounding.
Pierce each shell with a skewer to vent steam and return to the oven (off) with the door ajar for 10 minutes to dry, then cool on a wire rack.
For raspberry coulis, simmer 150 g raspberries with 60 g sugar and lemon juice for 3 to 4 minutes, then press through a sieve and cool completely.
For pastry cream, heat 250 ml milk to steaming; whisk yolks, 60 g sugar, cornstarch, and a pinch of salt until pale.
Temper yolk mixture with hot milk, return to the saucepan, and cook whisking until thick bubbles form and the cream reaches about 85°C.
Off heat whisk in butter and vanilla, then press plastic wrap on the surface and chill until cold.
Whip 250 ml cold heavy cream to soft peaks and fold half into the cooled pastry cream, then fold in 2 to 3 tablespoons raspberry coulis to taste.
Stir the remaining fresh raspberries (100 g) lightly into the filling, leaving some whole.
Fit a piping bag with the small tip and fill with the raspberry diplomat cream, then poke two holes in the underside of each shell and fill until heavy.
For glaze, heat 60 ml cream to steaming, pour over chopped white chocolate (and cocoa butter or oil if using), rest 2 minutes, then stir smooth.
Dip the tops of the filled eclairs into the white chocolate glaze, letting excess drip, and set on a rack.
Drizzle a little extra raspberry coulis over the glaze and swirl with a toothpick, then sprinkle with crushed freeze-dried raspberries.
Chill the eclairs for 30 to 45 minutes to set the glaze before serving.