Mix tomatoes with juices, onion, garlic, chipotle, oregano, cumin, and salt in a 4-quart slow cooker. Nestle chicken into sauce.
Cover; cook on high 2 1/2 to 3 hours until chicken reaches 165°F and pulls apart easily.
Transfer chicken to a plate; shred with two forks. Stir beans into sauce, mashing about 1/4 cup against cooker wall to thicken.
Return chicken. Cover; cook on high 10 minutes until beans are hot. Stir in lime juice.
Warm tortillas in a dry skillet over medium heat, 20 to 30 seconds per side.
Divide chicken and beans among 8 tortillas with a slotted spoon; serve 2 per portion.