Preheat oven to 400°F.
Spritz a 9" oval baking dish with cooking spray. (Any shallow baking dish with at least a 3-cup volume will do.)
Add the ricotta + goat cheeses, egg, all the lemon zest and 1 tsp of lemon juice, thyme, salt and several grinds of black pepper into the bowl of a food processor. Blend for 2 minutes until smooth and creamy. Pour into the baking dish.
Distribute the blackberries over the top of the ricotta. Bake for 30 minutes until the blackberries are saucy and the cheese is bubbly.
Drizzle with honey and garnish with additional thyme and coarse salt. Serve with toasted bread or crackers.