Toss the sliced strawberries with the sugar and vanilla and let them sit for 30 minutes until juicy and syrupy.
Preheat the oven to 425°F. Whisk the flour, sugar, baking powder, and salt, then work in the cold vegan butter with your fingertips until the mixture looks like coarse crumbs with pea-sized bits.
Stir the cold coconut milk and vanilla in just until a shaggy dough forms. Pat the dough 1 inch thick on a floured surface and stamp out 6 to 8 rounds using a biscuit cutter or the rim of a glass.
Place the rounds on a lined baking sheet, sprinkle with coarse sugar, and bake for 13 to 15 minutes until golden and tall.
Scoop the thick solid coconut cream from the chilled can into a bowl, leaving the liquid behind. Whip with the powdered sugar and vanilla until fluffy.
Split the warm shortcakes, spoon the strawberries and their juices over the bottoms, add a generous cloud of whipped cream, and cap with the tops.