In a large saute pan over medium-high heat add the beef, sausage, onion and green pepper. Cook until the meat until browned. Drain if necessary and then add the 1/2 cup water to scrape up any caramelized bits in the pan while stirring and let evaporate.
Add this mixture to your slow cooker. Add the rest of the ingredients except the flour and stir well. Cover and cook slowly on low for 7 hours or on high for 4 hours.
About 20 min. prior to finishing mix the flour with warm water and whisk into the sloppy joes. Turn to high and let bubble and thicken.
Place a large spoonful on the bottom of a hamburg bun. Top with cheddar cheese and run quickly under a broiler. Top with the other bun and serve.
Nutrition calculation is an estimation only. If you need nutritional calculations for medical reasons, please use a source that you trust.