My mom has a favorite side to breathe on. Today, turning her head to catch breath on the left resulted in a pain in her neck. She could feel that she was using her neck to lift her top-of-head out of the water - too high and too tense. It hurt.
In preparation for a more balanced stroke, breathing left and right, she demonstrates two useful exercises that train the nervous system for relaxation in the neck and shoulder.
(1) Mom is gliding on her side edge and simply rotating her face to the "face down position" and up to the "breathing position." I see a nice horizontal alignment and her head and neck very relaxed in the water.
(2) Mom is performing "underwater switches." By avoiding her usual tense arm stroke recovery (out of the water) perhaps she can train her shoulder to relax.
My goal for her eventually would be to incorporate a very relaxed shoulder with the above-water stroke recovery. Perhaps "a little pain" can be a healthy motivator to find a better, more relaxed arm stroke and head rotation.