Melt butter in a Dutch oven over medium heat. Add flour; cook, whisking constantly, 2 minutes. Gradually add ale and milk, whisking until smooth. Cook, whisking constantly, until mixture is thick and bubbly.
Gradually whisk in cheese and hot sauce until cheese is melted.
Meanwhile, shape Schweid and Sons beef into 6 patties; season lightly with salt and pepper. Cook patties in a large skillet over medium-high heat 5 minutes per side or until no longer pink in centers.
Serve patties on rolls with tomatoes, cheese sauce, and onion rings.
Onion Rings Instructions
Bake or fry onion rings according to package directions.