Might try doing HI-pulls to about nipple/upper ab's high. Do this with a DB, one arm at a time, which is an excellent shoulder girdle exercise. The wider sideways, the more direct delt involvement. But keep the DB inline with the shoulder area. May need to brace the body with the free hand. Or, if you prefer, use a BB. Upright rows, with a narrower grip, is also a good shoulder girdle builder. Keep the bar (or DB) close to the body during the whole lift. Too far front, with a narrower grip, puts unneeded stress on the shoulder joints. Probably the main reason that some guy's think that the upright row is a dangerous exercise is from raising the bar too far front, allowing that negative angle on the shoulders. Upright row's are one of my favorite exercises for the whole shoulder complex, as well as the traps. Also influences the biceps to a degree.
Might try lying DB side laterals on an incline bench. Another version, if it does not bother you, is to press a DB overhead while lying sideways on an incline bench. A different angle for the delts. In fact, any overhead pressing DB exercise (standing or sitting) should offer less strain on the shoulder area because the DB is allowed to follow the natural twist and turn of the hands/wrist/elbows as it is pressed overhead. A BB does not offer that option but is held in a more fixed position, producing more unnatural stress on the shoulder joints.
Rep range of 7-10. You can work up to heavier weights but avoid going to failure. Not always the best method, even with a healthy shoulder area. You will probably only need two exercise to work the delts the proper way. Good Luck