youngest daughter lives there now in West Ashley, so I've been 3 times over the last couple years, and roamed all over the area.
DO NOT miss going to see the HUnley, it is very cool, and now they have it sitting upright, the water is clear, and they have items from the crew, especially the captain/Lt. Dixon, they have the gold $20 coin that saved him at Shiloh (an engraved gift from a lady in New Orleans) now bent from a Union shot that drove the coin into his leg, having to be removed at a field hospital, leaving him with a limp, also found with him was some exquisite European made diamond/gold/platinum jewelry.
If you are a history buff, there is much to see and do, but the Hunley would be tops, and then since you prefer drier wines, I would suggest the Winery/Stilry (they are together) It is actually one of the only Muscadine that was similar to dry CA, and WA varietals. Not my preference, but you may actually be surprised, you get to watch a video, and a tasting for around 7 or 10 bucks.
Then you can walk next door(40 ft) and for around 10-12 bucks try 5-6 different flavored vodka's, pretty good.