Preheat oven to 450° F.
Oil a shallow 12- by 18-inch baking pan with 1 tablespoon oil. Remove any tough ends from asparagus, and then toss with remaining 2 tablespoons oil, salt and pepper. Spread over 2/3 of the oiled baking pan.
Rinse fish and pat dry. Place on the other end of the oiled baking pan. Combine melted butter, tomatoes, herbs, zest and lime juice in a small bowl; brush or spoon over fish.
Roast, uncovered, for 10 to 12 minutes or until fish is opaque inside. Serve immediately.