Toss the chicken thighs with the paprika, brown sugar, cumin, chipotle powder, garlic powder and salsa in a large bowl to coat. Layer in a 3- to 4-quart slow cooker.
Cover and cook on low heat for 6 to 8 hours or on high heat for 3 to 4 hours or until the chicken is fork-tender.
Remove the chicken and shred with a fork. Return to the slow cooker.
Meanwhile, whisk the sour cream, heavy cream, green chiles, cilantro, lime juice, lime zest, and salt together.
Serve the shredded chicken in the warm tortillas. Top with the sour cream sauce. Garnish as desired.