Place 125ml/half cup of the milk in a microwaveable jug or large mug and heat for 1-2 minutes until very hot. Time taken will depend on the strength of your oven. Keep an eye on it as once it boils, it will flood your microwave oven.
While waiting for the milk to heat up, break up your white chocolate into little pieces.
Place the white chocolate pieces in the hot milk and stir until melted.
Add the vanilla in and stir well to mix. If you are using vanilla paste with seeds, the seeds will sink eventually, not a big deal.
Place the ice, the chocolate and milk mix as well as the rest of the cold milk into a blender and blitz to mix.
Raspberry Compote
Place everything in a small saucepan and bring to a simmer and cook for 5 minutes, breaking up the fruit if you like.
When done, cool to a room temperature, cover, and place in the fridge until needed.
Notes
Total Time here does not include the raspberry compote chilling time.