Cedar Planked Burgers

Name: Cedar Planked Burgers
Ingredients: 4 portobello mushrooms, stems removed; 4 shiitake mushrooms, stems removed; 2 Walla Walla onions, peeled and cut into 1/4-inch slices; Canola oil; Salt and freshly ground black pepper; 2 untreated cedar planks, each about 5 by 12 inches, soaked in water to cover for at least 2 hours (available at hardware stores); 1 1/2 pounds ground chuck (80-percent lean); 1 cup Red Wine Barbeque Sauce, recipe follows; 8 slices good-quality aged white Cheddar; 4 hamburger buns, split and lightly toasted on the grill; 1 1/4 cups ketchup; 2 tablespoons ancho chile powder; 2 tablespoons honey; 2 tablespoons molasses; 2 tablespoons dark brown sugar; 1 heaping tablespoon Dijon mustard; 1 tablespoon paprika; 1 tablespoon red wine vinegar; 1 tablespoon Worcestershire sauce; 1/4 teaspoon chile de arbol or cayenne powder; 1 canned chipotle chile in adobo, chopped; 2 cups dry red wine, such as pinot noir