Heat the broth in a saucepan or in a bowl in the microwave until just hot to touch.
In a 4 quart saucepan over high heat, heat the olive oil. Turn the burner to medium low and add the butter to the saucepan. Saute the diced onion, sprinkled with the salt, until it is beginning to soften. Stir in the garlic and diced carrots and continue to cook until the vegetables are very soft in texture.
Add the rice to the pan and stir well to coat the rice. Cook for a few minutes until it smells “toasted”, stirring with a wooden spoon or a rubber spatula.
Stir in the white wine or rose wine. Use a large spoon or ladle to add about ⅓ cup of hot broth at a time. Simmer at a high simmer and stir continuously with the wooden spoon or rubber spatula until the broth is absorbed. Continue adding in the broth by ladleful, as the broth is absorbed, and until all of the broth has been added and the rice is just slightly undercooked, or al dente, about 15-20 minutes
Lower the heat to low and stir in the cheeses until melted, about 3-4 minutes, reserving the 2 tablespoons of asiago cheese for serving. Once the cheese has melted and most of the liquid has been absorbed, turn the burner off. Add additional salt to taste. Cover the pan and let sit for 5-8 minutes until the rice thickens a bit, but is still very creamy.
Spoon into a serving bowl and top with chopped parsley, the remaining asiago cheese, a drizzle of olive oil, a drizzle of honey, and crushed black pepper.