You really are looking for a baked bean recipe. The secret to the smoke flavor is to cut up a proper amount of barbecued pork butt to incorporate into the beans before they go into the oven or grill.
From page 134 of The Great American Barbeque Instruction Book.
Let's Get Started ..............
1 lb. navy beans (Michigan whites)
2 cups brown sugar
4 c. tomato juice or comparable tomato sauce or paste
1 c. chopped onion
1/2 t. dry mustard
1/4 t. cloves
1 T. fresh grated horseradish or comparable dry
1/8 t. cardamon
1/2 t. black pepper
2 t. salt
1/2 lb barbecued pork shoulder, shredded or chopped.
Cook beans until tender; pour into pot or casserole dish. Mix other ingredients and stir into beans. Taste and adjust for flavor. Bake at 300-350 degrees until flavor is fully incorporated.