Swimming would probably be the safest exercise.
A properly constructed workout plan will eliminate injuries
- Do not over train
- Know your 1 Rep Max and multi-rep equivalents
- Do not exceed your 1RM Capacity except in very small overload
increments
- Do not work to failure (maximal load) every workout
- Use Progressive Resistance with first set workload at least 10% below Maximal
- Do not push your self too hard on the last rep of your last set
Some sports are prone to Rotator Cuff injury
- Baseball especially Pitchers
- Tennis
- Swimmers
Accidental Injuries
- Falling on shoulder
- Breaking fall with arms
- Lifting Heavy Object
- Over Stretching
- Rapid Twisting
BTW, the Bench Press does not work any of the Rotator Cuff muscles. Except the a very minor workout of Subscapularis which no resistance exercise targets.
Muscles and Resistance Exercises
Below is a list of the Rotor Cuff Muscles with some common and safe resistance exercises that work those muscles.
Infraspinatus
Shoulders Bent-Over Lateral Raises
Shoulders Low Pulley Bent-Over Lateral
Shoulders Pec Deck Rear Delt Laterals
Back Bent Rows
Back T-Bar Rows
Teres Major
Shoulders Low Pulley Bent-Over Lateral
Chest Dumbbell Pullovers
Chest Barbell Pullovers
Back Reverse Chin-Ups
Back Lat Pulldowns
Back Back Lat Pulldowns
Back Close-Grip Lat Pulldowns
Back Straight-Arm Lat Pulldowns
Back Seated Rows
Back One-Arm Dumbbell Rows
Back Bent Rows
Back Deadlifts
Supraspinatus
Back Press
Subscapularis
No resistance exercises?
PosteriorView of Rotator Cuff