Great Grilled Vegetables Platter

1 small zucchini , cut into 1/4-inch slices, lengthwise

1 cubanelle (light green) Italian pepper, cut into strips, lengthwise

1 small red onion , sliced into thick rings

8 medium creminis (baby portobellos), trimmed

1/2 cup extra-virgin olive oil , for brushing

Coarse salt and black pepper

2 tablespoons chopped fresh thyme,

4 to 6 sprigs stripped and chopped

1/2 teaspoon (a sprinkle) of dried thyme or dried Italian Seasoning may be substituted