Preheat the oven to 275°F. Line a baking sheet with parchment paper and set aside.
Place egg whites, vanilla extract, and cream of tartar in the bowl of a stand mixer and beat with a whisk attachment until soft peaks form.
Gradually add sugar, about 1 tablespoon at a time, and beat on high speed until stiff peaks form.
Using a spoon, drop eight dollops of meringue onto the prepared baking sheet, creating well-shaped nests.
Bake the nests for 45 to 50 minutes, then leave in the oven to cool for an additional hour.
Meanwhile, place rhubarb, 1/2 lb of strawberries, water, basil leaves, and honey in a saucepan and bring to a gentle boil, reducing it to a simmer.
Remove from heat, discard basil leaves, and stir in reserved chopped strawberries.
In a stand mixer, beat heavy cream until soft peaks form, then add powdered sugar and beat until thick and fluffy.
Top each meringue nest with compote and whipped cream, and serve immediately.