Meanwhile, sprinkle chicken with 1/2 t. salt and 1/2 t. pepper. Heat 1 T. oil in a large skillet over medium-high heat; add chicken, and cook until golden, about 2 minutes per side. Nestle chicken into beans in slow cooker at the end of the 6-hour bean cook time. Cover and cook until chicken and beans are tender and done, about 2 hours.
Transfer chicken to a cutting board; remove meat from bones, and shred. Remove 3 c. beans, and drain well, reserving any remaining beans in slow cooker for another use. Set chicken and 3 c. beans aside to cool.
Squeeze juice from 1 orange to equal 1/4 c. Peel remaining 2 oranges and cut into segments. Whisk together orange juice, vinegar, shallots, and remaining 1/2 t. salt and 1/4 t. pepper in a large bowl. Add remaining 1/2 c. oil in a steady stream, whisking until incorporated.
Add spinach, shredded chicken, beans, orange segments, almonds, and cheese, and toss with the dressing.
Adapted from Southern Living recipe.