Cook brown rice according to package instructions until just tender; drain, rinse with cold water to stop rice from continuing to cook and spread out on a lightly oiled, rimmed baking sheet. Cover lightly with plastic wrap and set aside. You should have about 4 cups cooked rice.
Meanwhile, toss shrimp with 1 tablespoon olive oil, 2 teaspoons garlic and ¼ teaspoon crushed red pepper. Refrigerate 15 to 30 minutes.
Meanwhile, combine all dressing ingredients and whisk to combine. Season with additional salt and pepper to taste.
In a large bowl combine brown rice, cabbage mix, orange, avocado, queso fresco, green onions and ¼ cup cilantro. Add dressing and toss gently; adjust salt and pepper to taste and set aside.
Preheat gas grill to medium heat (350ºto 400ºF). Divide shrimp among six to eight metal or bamboo skewers (see NOTES), leaving a little space between shrimp. Grill shrimp until just firm and outside is light pink, 5 to 7 minutes, turning halfway through cooking.
Serve shrimp on skewers atop rice salad or cool shrimp, remove from skewers and toss with rice salad. Serve with additional chopped cilantro, crushed red pepper, and tortilla chips, as desired.
Makes 4 to 6 servings.