Spread 1 can of chili and beans in the bottom of a 9x13 inch baking dish. Roll up franks inside tortillas and place in baking dish, seam side down, on top of chili and beans. Top with remaining can of chili and beans, and sprinkle with cheese.
Cover baking dish with aluminum foil, and bake at 425 degrees for 30 minutes.
Covering the baking dish with aluminum foil for the entire thirty-minute duration traps steam, ensuring the flour tortillas soften rather than dry out in a 425 degree oven. Placing the rolled tortillas seam side down prevents them from unravelling as the moisture from the chili releases during the bake. Fresh frankfurters retain more cellular water than heavily preserved or shelf-stable varieties, releasing slightly more liquid into the base of the dish and requiring the full baking time to adequately reduce the sauce.
Judging Doneness Visually
Visual cues dictate readiness when no internal temperature probe is used. Remove the aluminum foil during the final five minutes if the cheese requires additional browning, watching for large bubbles to breach the perimeter of the baking dish. The cheddar cheese should melt completely into a uniform layer with slight oil separation at the edges, indicating the dairy fats have rendered fully.
Managing Moisture and Equipment
Standard 9x13 inch metal or glass baking dishes conduct heat differently, altering how the bottom layer of chili sets. Glass retains heat longer, meaning the casserole continues to simmer for several minutes after removal from the heat source. Allow the dish to rest for ten minutes before serving so the sauce thickens and portions hold their structural integrity when transferred to plates.