Melt butter in a large pot or pan on medium heat. Whisk in flour and stir 1-2 minutes. Add beer and whisk another 4 minutes. Add half/half or milk, bring to a boil, and then reduce heat to a simmer. Cook until sauce thickens to your desired consistency. Next add, hot sauce, cayenne and salt and pepper to taste. Remove from heat and add shredded cheese in batches, stirring until melted. Service immediately.
Assemble the Tots
To serve, place cooked tots on a plate, top with chili, cheese sauce and desired toppings. Enjoy!