o7 my brother.
Lant Fleet Nav anon here. I did ASW and I'm also a longtime former OBX resident. Not gonna say absolutely not, but it's very unlikely it's a sub hunt - the water inshore is very shallow, typically less than 200 ft, and there are some really serious shoals in the area. I suppose it's possible that drug runners would be stoopid enough to try, but they're asking for it. Still, OBX is a spoopy place with some nasty liberal drug connections and a whole lot of disaffected former mil/intel playas in the area.
Can say this - if those destroyers light off their active sonars at max power, the volume underwater will literally fuck people up. Back in the Cold War days, we used to do "hold down" exercises if we ever got up on a Soviet sub. Stay over the top of them so they can't surface and ping the everlovin' dogshit out of 'em for days on end, if possible.