As you probably know, Navy anesthesia generally won't deploy people until they've taken their oral boards, though there are exceptions. So you can reasonably expect to be safe until you've done your orals. (Incidentally, if you draw the fall oral board date, the ABA has been known to move people up to the spring date if they tell them they're scheduled to deploy and want to be board cert before deploying).
As for the draw down ... don't hold your breath. 🙂 Afghanistan is probably going to be it for the next couple years. As the story goes, certain segments of the line have been less enthusiastic about solo CRNAs of late, so the demand for anesthesiologist deployments hasn't dropped the way you might have expected since leaving Iraq.
The "fun" deployments like humanitarian cruises seem to go more toward peds fellowship trained guys, which makes some sense, given the cases and patients they have.
There really aren't any other Navy anesthesiologist deployments to speak of. We generally don't wind up on ships, at least not for long.
