[Thanks to appylover31803 for the suggestion of using treats]
I'm not real fond of using treats to motivate a horse, but I think with AZ, it was the key. The only time he balked was when our farrier first tried to lift his foot, but as soon as he allowed him to hold his foot without struggling, he got a baby carrot. He figured out pretty quickly that "standing still = carrot" and it worked! He was very very good for the farrier. We'll continue working with his foot issues, but it's a relief to know we won't need sedatives for the procedure.
Dixie was no problem at all of course, with the demeanor of "Ok, let's get this over with while I take a nap" The funny part about the farrier trimming Dixie's hooves was AZ's interest in the whole procedure. He watched the farrier trim every hoof with utter fascination