Avoid the chins until you've improved scapular depression and overal control.
The overhand grip is more likely to aggrevate as well.
Wall Slides, Prone Y's will help activate lower traps. Improve other scapular control and strength before chins (serratus anterior, middle traps/rhomboids). Lots of strict cable rows will generally help (6x10)
I do a lot of work for my shoulders (like the above), and probably do a total of 140 reps of cable rows in 7-8 days, plus deadlifts etc...