Preheat the oven to 390F / 200C and line a baking sheet with parchment paper.
Slice your peppers into 2-3 pieces and remove the stalk, membrane and seeds. Add to the baking sheet, drizzle with olive oil and sprinkle over the sweet paprika and dried thyme. Toss to coat in the spices. Roast the peppers for 20-25 minutes, until softened.
Remove from the oven, place in a bowl and cover with a plate for 10 minutes. Once cool enough to handle, peel the skins from the peppers.
Cook your pasta according to package instructions in lightly salted water. Reserve half a cup of the pasta water (you may not use it all). Drain in a colander.
Blend the cottage cheese, roasted peppers, fresh basil leaves, ¼ cup of pasta water, salt and black pepper, if using, to a thick sauce.
Add the cooked pasta back to the pot and pour in the cottage cheese sauce. Stir into the pasta, adding more pasta water, a spoonful at a time, for a thicker, smooth sauce, as needed. Season to taste preference.