Use a large crockpot for this recipe. Mine is 6 quarts.
Trim the fat off of the breasts.
Add the trimmed chicken, garlic, chicken broth, creamed cans of corn, Mexicorn, drained and rinsed black beans, undrained diced green chiles, chili powder, paprika, and cumin to the crockpot.
Stir well. Cover and cook on high for 3-5 hours or low for 4-6 hours or until the chicken shreds easily.
Remove the chicken and shred. See my instructions on easily shredding chicken in 1 minute.
While shredding the chicken add in the freshly grated cheese and the heavy cream.
Return the shredded chicken and mix. Season to taste with salt and pepper.
Serve with desired toppings: fresh lime, fresh cilantro, sour cream, or fresh avocado.