Pros
Preface: I am not a clinical (doctor, nurse) employee, so my experience with the company may vary from someone who works in clinical settings with patients. BayCare is a great place to work if you're looking for a stable and simple workplace environment. The tasks remain the same from day to day, year to year. Management is not aggressive with change which, again, if you're looking for stability, this is good for you.
Cons
As a "not-for-profit" company, BayCare pays less for non-clinical (data/financial/business analysts, etc) than other companies. Annual bonuses are meager ($300-500 max per year) and annual performance pay raises are capped at 3% max (meaning you can get less if your manager deems it appropriate). Company does not "develop" talent and the options for training and increasing your skills are limited to Microsoft Office Suite programs. BayCare is not known for focusing on promoting/hiring from within. Hiring managers will give as much opportunity to outside applicants as they will internal. To me, this is a con as I know many people want advancement and there should be some level of advantage given to internal candidates.