Hate to see a whole day go by without anyone responding. It's just not cool.
I don't know much about Sunset Beach, but it's, what, 30-45 minutes from Myrtle...? And the only one I know of there is Socastee, which is fun.
Or you can do the night-time thing at Turtle Bay. I took my son and a friend of his out there for under-the-lights golf. Aside from the occasional family of foot-golfers, we saw no one else out there. And it's a cool experience just for something different to do. (If you're not familiar, the place is a combo par-3 golf course, foot-golf course, and disc golf. Can't remember if there are 18 holes or not, but again: fun to play at night, and beats the hell out of Putt Putt.)
Do a Google on disc golf near Sunset Beach, then come in here and look for reviews to see if you think they sound good to you. I found one called Cougar Country DG in Boiling Springs Lake, NC. 40 minutes or so, going the other direction, from Sunset.
Should be able to find something around there. Good luck!