1. Cook rice pasta according to manufacturer's directions. Drain all but a small amount of water from the pot and set aside.
2. Heat the olive oil in a cast-iron skillet over low-medium heat. Cook the garlic for 1-2 minutes. Add the shallots and cook for another minute or two.
3. Add the chopped prosciutto and cook for a few more minutes, until nice and brown.
4. Add the peas and cook for 1-2 minutes. Add the cream, stir everything to combine, and reduce to a simmer.
5. Remove sauce from the heat and add to the pot with the pasta. Mix well.
6. Spoon pasta into serving dishes and sprinkle with the lemon balm and fresh Parmigiano.