Sean,
If you are looking for another course on the way back I'd actually consider the Aiken CC otherwise known as the Highland course. It is a local gem from 1912, member dedsigned, and I love the course. It only plays about 6100 yards par 71 ( I think Palmetto is around 6500) but it is beautiful, challenging, and the greens are undulating and excellent. during their last rennovation they kept the old features like waste bunkers and pampas grass that make it tough for its length. It is built on classic Peidmont sand country and feels like an old course should. I could give you a hole by hole description but that would be excessive wouldn't it?
I have played most of the courses in the region and I never understand why this one doesn't get more attention. I usually make sure to play both Palmetto and Aiken every time I am in town.
If you want to drop some coin for premier lodging look at the Wilcox Inn in Aiken. Normally expensive, I am sure during the Masters they will scalp you. I will say you will not find a better hotel in the region and I include some of the best in Charleston, Pinehurst, Raleigh, and Atlanta in that statement. They also have a guest membership at Palmetto but it may not be worth anything Masters week. The dining room is one of the best restaurants in town.
If you want to keep your wallet intact, stop by the brewpub in Aiken and say hello to Mary and Lanny. They brew some good beer and if you drop my name they will either comp you one or throw you out on your ear. I can't remember the state of our relationship the last time we parted ways.
Hope you have a safe and wonderful trip.
-Cheers