Grease an 8-inch spring form pan. Set aside.
Canned coconut milk should be refrigerated overnight. When ready to make recipe, flip can over and open. Remove all but 1/4 cup of the coconut water, discard remaining liquid, but scoop out the cream. Place the coconut cream and 1/4 cup coconut water into a stand mixer. Use whisk attachment and mix on high speed until thickened, could take up to 10 minutes.
While it's mixing, add the vanilla extract, salt and 1/3 cup monk fruit sweetener. Set aside once thickened.
In a small sauce pan add water and sprinkle gelatin. Bring to a boil and stir until dissolved. Set aside to cool.
In another mixing bowl add the cream cheese, yogurt and 1/3 cup Monk Fruit sweetener. Use a hand mixer or stand mixer and blend on high until well combined. Taste and adjust sweetness if needed. On low speed, drizzle in the cooled gelatin until combined.
Fold in the whipped coconut cream. Pour mixture into pan and refrigerate for 3-4 hours or overnight. Serve as is or top with blackberry syrup if desired.