1/2 pound piece of slab bacon, sliced 1/3 inch thick and cut into 1/3-inch dice
1 celery rib, finely chopped
1 small onion, finely chopped
1 large jalapeño, seeded and chopped
2 large garlic cloves, minced
1 tablespoon chopped thyme
One 12-ounce bottle lager or pilsner
About 2 1/4 cups low-sodium chicken broth
4 tablespoons unsalted butter
1/4 cup all-purpose flour
1 cup heavy cream
1/2 pound sharp yellow cheddar cheese, coarsely shredded
4 ounces smoked cheddar cheese, coarsely shredded
Salt and freshly ground pepper
Garlic-rubbed toasts, for serving