Chilaquiles with Fried Eggs

INGREDIENTS

• 7 dried guajillo or New Mexico chiles
• 1 28-ounce can whole tomatoes, drained
• 1 medium white onion, chopped (1 1/2 cups)
• 5 garlic cloves, chopped
• 1 jalapenño, with seeds, chopped
• 1/8 teaspoon smoked or Hungarian sweet paprika
• 2 tablespoons vegetable oil
• 2 teaspoons honey
• Kosher salt, freshly ground pepper
• Vegetable oil (for frying)
• 9 6" corn tortillas, quartered, or 36 large tortilla chips
• Kosher salt
• 1 cup (4 ounces) crumbled queso fresco or mild feta
• 1 cup (4 ounces) shredded Monterey Jack
• 4 large eggs
• Finely chopped white onion
• Thinly sliced radishes
• Chopped fresh cilantro
• Lime wedges
• A deep-fry thermometer