I have a recipe that sounds similar to what you are looking for. It does not have the chuncks of cheese but I'm sure that you could add it.

CALICO BEANS

1/2 lb. ground beef
1 onion chopped
Brown and drain

1/2 lb. bacon
fried, drained and crumbled

Combine mixture and add:
1/3 cup ketchup
1/2 cup sugar
1 teaspoon mustard
1/2 cup brown sugar
1 teaspoon salt
2 teaspoons vinegar
2- 16oz. cans of pork & beans
1- 16oz. can of lima beans
1- 16 oz. can of kidney beans
Cook over medium heat about 1 1/2 hours. I put it in the crock pot on high for two hours. Everyone loves them at picnics...