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Adjust rack to middle position and preheat oven to 425. Wash and dry produce.
Place 1 TBSP butter in a small microwave-safe bowl. Microwave until softened, 10-15 seconds.
Brush the insides of two small oven-safe bowls or ramekins (four bowls or ramekins for 4 servings) with softened butter. (TIP: Each bowl should have approximately a 2-cup capacity.) Divide half the panko between bowls (we used 2 TBSP panko per bowl). Working one at a time, turn each bowl to coat the bottom and sides with panko; invert bowls and tap out any excess.
Trim and thinly slice scallions, separating whites from greens. Trim green beans if necessary. Reserve 2 TBSP cheddar (4 TBSP for 4) in a separate small bowl.