Add chicken to the bottom of a slow cooker. Whisk together chicken broth and Ranch Dressing & Dip Mix. Pour over chicken. Cover and cook on high for 6 hours or low for 4 hours or until chicken is very tender. Alternately, cook ingredients in an electric pressure cooker for 25 minutes. Use quick pressure release.
Shred chicken. Add broccoli and continue cooking for about 15 minutes or until broccoli is tender. (Cook for 2 minutes in the pressure cooker. Use natural pressure release.)
Stir in cream cheese, cheddar cheese, and heavy cream until completely combined.
Meanwhile, cook bacon in a 12-inch nonstick skillet to desired doneness. Drain on a paper towel-lined plate.
Serve soup topped with bacon and extra cheese if desired.
