Step 1: Layer the Chicken and Seasoning - Place the chicken breasts right into the slow cooker. Sprinkle all the oregano, garlic powder, salt, pepper, and smoked paprika evenly over the top. Do not worry about perfection here, just make sure everything gets a good coating.
Step 2: Add the Vegetables - Pile the onion, carrots, celery, bell pepper, green beans, and corn right on top of the chicken. It might look like a lot, but everything cooks down beautifully.
Step 3: Make the Cream Sauce - In a pan on the stove, melt the butter over medium heat. Stir in the flour and cook for about a minute until it looks smooth. Slowly whisk in the chicken broth first, then add the milk and heavy cream. Keep stirring until the sauce starts to thicken slightly. Add the salt, thyme, and parsley.
Step 4: Combine and Cook - Pour the sauce evenly over everything in the slow cooker. Cover and cook on low for 6 to 7 hours or on high for 3 to 4 hours. The chicken should be tender and easy to pull apart.
Step 5: Shred the Chicken - Remove the chicken, shred it with two forks, then return it to the slow cooker. Give everything a good stir so the sauce coats all the ingredients.
Step 6: Prepare the Biscuits - In a bowl, mix the flour, baking powder, and salt. Cut in the cold butter until the mixture looks crumbly. Stir in the milk until a soft dough forms.
Step 7: Add the Biscuit Topping - Place pieces of biscuit dough on top of the filling. Cover and cook on high for 45 to 60 minutes until the biscuits are set. Keep the lid closed so the steam cooks them properly.