The Ready State Virtual Mobility Coach is like having a virtual Kelly Starrett in your pocket.
Daily Mobility Exercises by Dr. Kelly Starrett › Forums › Shoulder › Push Press pain and internal shoulder rotation clicks › Re: Push Press pain and internal shoulder rotation clicks
Have you had a coach watch you move through the movement patterns of restriction?
Have someone video you going through the movement patterns of restriction so you can see exactly what is happening. Push press is a more complex movement pattern.
Have you done mobility to address your delt and pec minor and bicep?