Combine ingredients in a large mixing bowl and stir together.
For the pesto:
Combine garlic, basil, pine nuts and parmesan in a food processor. Slowly add olive oil as dry ingredients are processing.
Preheat oven to 550 degrees F.
Sprinkle flour on a wooden cutting board or preparation surface. Slap out the ball of dough into a circle about 1/4-inch thick. Spread a layer of pesto on dough a few inches across, leaving about 1-inch around the edges uncovered. Add ricotta and toppings and fold the dough over the toppings to create a "half moon." Press down along the edges to create a seal so the melted cheese will not leak out. Bake for 15 minutes on a pizza stone. Rotate halfway through to ensure they cook evenly. Serve with marinara sauce.
Preheat peanut oil to 350 degrees F. Use an egg wash to seal the edges of the dough. Place in the fryer basket and deep-fry for 6 to 8 minutes, until golden brown.