Is there a campus off of Fletcher Ave?

Yes, the campus near Fletcher is accessed from Bruce B Downs Blvd and USF Holly Dr (just a smidge south of Fletcher), this is the main hospital and offices. It's tucked within the borders of the USF Tampa campus.

Yes, you can get to Moffit Cancer Center by Fletcher or Fowler Aves, but it's easier to turn off of Fletcher , you can turn on Magnolia Dr, from Fletcher Ave to get to the Moffit Cancer Center where the main Moffit hospital and clinics are located. There's the McKinley Moffitt campus, also on McKinley Dr.