Combine tomato and 1/8 teaspoon salt in a bowl; let stand 10 minutes.
Heat a large skillet over medium heat. Add the remaining 3 tablespoons of oil to pan; swirl to coat.
Add garlic; sauté 2 minutes or until golden. Increase heat to high.
Add remaining 1/8 teaspoon salt and corn; cook 3 minutes or until corn begins to char.
Stir in tomato mixture; cook 1 minute.
Add green beans, butter beans, and peas. Bring to a simmer; cook 3 minutes.
Remove pan from heat; stir in butter and black pepper. Toss in lemon basil vinaigrette and serve.