mechanic question: dead ball vs. down indication

[Blue37]

We use the raised hand to indicate "I have a progress spot." It is hard for the end men to see each other through the pile, but you can see the raised hand. If they both have it up, one defers to the other so we do not have two different spots.

Edited to add:
The only time we indicate the down over our heads is if the ball came loose and the offense recovered.

As to your question on transition, I would drop my hand as, or before, I turned. As I was going to the sideline, I would give the down at eye level, not over my head. Personally, I would look goofy jogging toward the sideline with my hand over my head.