I haven't taken my Edge offroad, so I don't have direct experience with it. I did grow-up near the Outer Banks and have spent a lot of time driving on the beaches and dunes there in various offroad vehicles.
The sand on the Outer Banks tends to be very deep and loose (not packed). This puts a great deal of load on most vehicles (except really light weight vehicles with balloon tires, like dune buggies). The Edge, being a heavy-ish vehicle with road tires will want to sink into the sand and take a lot of power to keep moving. As Dr Fildo said, you can let air out of the tires to increase floatation on the sand. You may also be able to "plane" on the sand if you can get up enough speed.
The Edge has marginal grown clearance for deep sand. Letting air out of the tires will lower the vehicle more. This is my major concern with taking the Edge onto the sand. You'll encounter many locations where other vehicles have traveled. These tire tracks can easily get over a foot deep and will high-center the Edge, leaving you sitting on floor pan and bumpers without the tires even being touching the sand.
Personally, I'd be reluctant to take the Edge into the sand. If you can't resist, lower air pressure to 15 lbs, go easy - don't spin your tires, keep up as much speed as safe to do, don't climb hills, and stay out of ruts caused by other vehicles. Good luck!