Drain the ricotta. Line a fine-mesh strainer with a double layer of paper towels or cheesecloth, set it over a bowl, spoon in the ricotta and refrigerate for 1 to 2 hours. It's ready when a few tablespoons of cloudy whey sit in the bowl and the ricotta holds its shape on a spoon.
Slice and salt the zucchini. Trim the ends and cut each zucchini lengthwise into 1/4-inch (6 mm) planks with a knife or a mandoline set to 6 mm. Lay them in a single layer on wire racks set in rimmed sheet pans (or in a colander), sprinkle both sides with the 1 1/2 tsp kosher salt and let stand 30 minutes. Beads of water will appear on the cut faces within about 10 minutes.
Make the meat sauce while the zucchini salts. Heat the oil in a large skillet over medium-high heat. Add the beef, breaking it up, and cook 6 to 8 minutes until no pink remains. Spoon off the fat, then stir in the garlic, Italian seasoning, salt and pepper flakes and cook 30 seconds until fragrant. Add the marinara and simmer uncovered over medium-low heat for 10 to 15 minutes, stirring now and then, until a spoon dragged across the bottom of the pan leaves a clear trail for a couple of seconds. Take it off the heat.
Roast the zucchini. Heat the oven to 425°F (220°C). Blot the zucchini firmly with paper towels (don't rinse), arrange it in a single layer on two parchment-lined sheet pans and brush lightly with the 2 tbsp oil. Roast 15 to 18 minutes, switching the pans halfway, until the slices are limp, look dry on top and show a few golden spots. Blot again and let cool for 5 minutes. Lower the oven to 375°F (190°C).
Mix the filling. In a bowl, stir together the drained ricotta, egg, 1/2 cup Parmesan, 1 cup mozzarella, herbs, salt and pepper until smooth.
Assemble. Spread about 1/2 cup of the meat sauce over the bottom of a 9x13-inch baking dish. Add a layer of zucchini, overlapping the slices slightly. Dollop and spread half the ricotta filling, then a third of the remaining sauce. Repeat with zucchini, the rest of the ricotta and another third of the sauce. Finish with the last of the zucchini, the remaining sauce, the 1 1/2 cups mozzarella and 1/4 cup Parmesan.
Bake uncovered. Bake at 375°F (190°C) for 35 to 40 minutes, until the edges bubble and the cheese is browned in spots. An instant-read thermometer in the center should read 165°F (74°C). Leaving it uncovered lets steam escape instead of dripping back into the dish.
Rest, then cut. Let the lasagna stand for at least 20 minutes (30 is even better) before slicing into 8 pieces. The cheese and egg set as it cools, so the squares hold their layers.