I haven't had my ST on the north OBX beach yet, but I've driven it a bunch in many different vehicles. A few weeks ago we had my partner's Bronco Sport OBX out there and it did great.
IMO airing down is the key. With the air up station near the Whalehead Club there's no reason not to.
We will be back down there in a April and I will take my ST on the beach then. I'm not planning to cross the dunes and go to the interior area. I think that's where the ground clearance will be a problem, but if I see 1 that 's pretty flat I may go for it. Mine has 21" wheels. I will air down to about 20 PSI and start out in sand mode.