Like the barbell variation, the dumbbell Cuban press is a three-phase movement.
A wide-grip upright row until the elbows are aligned with the shoulders (no higher).
An external rotation.
An overhead press.
Just reverse the steps and repeat for reps. Start light. It doesn't take much weight to strengthen the rotator cuff and add some integrity to the shoulder joint.
I'm going to describe a little 6-week program that I call Tsunami Training (I'll get to why I call it that a little later). It's based, for the most part, on training methodologies that I picked up from Ian King and Charles Poliquin, with some razzle-dazzle thrown in by myself.