Stir together 1 tablespoon oil, honey, and next 3 ingredients until blended.
Set aside.
Slice squash and zucchini; cut bell peppers into 1-inch pieces, and trim green beans.
Toss squash, zucchini, and bell pepper with 2 tablespoons oil.
Toss green beans with remaining 1 tablespoon oil.
Grill squash, zucchini, and bell pepper in a grill wok, covered with grill lid, over medium-high heat (350° to 400°), stirring occasionally, 5 to 7 minutes or until vegetables are tender.
Remove from wok.
Grill green beans in grill wok, covered with grill lid, over medium-high heat, stirring occasionally, 5 to 7 minutes or until tender.
Toss vegetables with honey mixture; cover and chill 8 hours.