1. Pulse cranberries, orange zest and juice, 1/2 cup mint, sugar, and 2 teaspoons salt in a food processor just until finely chopped. Transfer to a small bowl. (Relish can be refrigerated, covered, up to 1 day.)

2. Cook lima beans in a pot of generously salted boiling water until tender, 3 to 4 minutes. Transfer with a slotted spoon to an ice-water bath; let cool completely, then drain. Meanwhile, return pot of water to a boil and stir in rice. Reduce heat to medium and simmer until tender, 35 to 40 minutes; drain. Spread rice on a lightly oiled rimmed baking sheet; let cool completely.

3. Heat 2 tablespoons oil in a medium skillet over medium. Add shallot and cook, stirring occasionally, until soft, 2 to 3 minutes. Add lima beans; season with salt and pepper. Cook, gently stirring occasionally, until warmed through, 2 to 3 minutes.

4. Transfer lima-bean mixture to a large bowl. Stir in rice, 1/3 cup relish, vinegar, parsley, and remaining 2 tablespoons each mint and oil. Generously season with salt and pepper; serve.