I use a special towel for keeping hands dry. It's called the Wick-er warmup, it is very thin and fast drying. I actually bought it for running, it has Silver in the fabric which kills bacteria, so even if it's hanging on the cart for many weeks, it doesn't stink like cotton or chamois, as the silver keeps bacteria from growing. I got it on a website
Discovery Trekking Outfitters after reading about these in an article in a Sailing magazine. I bought the x-small for Golf, they sell many sizes for other sports. I have found it much better than other ones as my hands sweat profusely, and all I have to do is touch the towel on my palms before I grab the club.