Prep your pan and oven. Preheat oven to 325°F (163°C).
Line the bottom of a 9-inch springform pan with parchment and lightly grease the sides. Wrap the outside of the pan with a double layer of foil if using a water bath.
Make the crust. In a bowl, mix almond flour, shredded coconut, sweetener, cinnamon, and salt. Stir in melted butter and vanilla until the mixture resembles damp sand.
Press firmly into the bottom of the pan. Bake for 10 minutes, then set aside to cool.
Cook the raspberry swirl. In a small saucepan, combine raspberries, sweetener, and lemon juice. Cook over medium heat for 5–7 minutes, mashing berries until saucy.
If desired, whisk in xanthan gum (tiny pinch at a time) or stir in chia seeds to thicken. Let cool. Strain seeds if you prefer a smoother swirl.
Beat the cream cheese. In a large bowl, beat softened cream cheese on medium speed for 1–2 minutes until smooth and fluffy.
Scrape down the bowl.
Sweeten and flavor. Add powdered sweetener and a pinch of salt. Beat until smooth. Mix in sour cream, heavy cream, lemon zest, lemon juice, and vanilla until just combined.
Add eggs gently. Beat in the eggs one at a time on low speed.
Mix just until incorporated to avoid whipping in too much air.
Assemble the cheesecake. Pour the filling over the crust and smooth the top. Spoon small dollops of the raspberry sauce across the surface. Use a skewer or knife to gently swirl, keeping the pattern light to avoid muddying the batter.
Bake with or without a water bath. For the smoothest texture, place the springform pan into a large roasting pan and pour hot water halfway up the sides.
Bake at 325°F for 50–65 minutes, until the edges are set and the center still wobbles slightly. Without a water bath, check earlier and tent with foil if browning too fast.
Cool slowly. Turn off the oven, crack the door, and let the cheesecake rest inside for 45–60 minutes. Remove, then cool to room temperature.
Chill to set. Refrigerate at least 6 hours, preferably overnight.
Run a thin knife around the edge before releasing the springform. Garnish with extra zest, raspberries, or whipped cream if you like.