Final answer:
The AP projection of the shoulder girdle with and without weights is the most appropriate imaging study to diagnose an acromioclavicular strain as it will show any changes in the spacing between the acromion and clavicle.
Step-by-step explanation:
When dealing with a suspected acromioclavicular strain, proper imaging is essential for a correct diagnosis. The best projection to assess a potential acromioclavicular joint injury is an AP projection of the shoulder girdle with and without weights. This method, often performed with a ten-pound weight in the patient's hand, can highlight any dislocation or separation. It will demonstrate any increase in the space between the acromion and the clavicle, which indicates damage to the acromioclavicular ligaments and possibly to the coracoclavicular ligament as well.