Maybe I'm off on this, but I would think real hard about kayaking in the lower part of the state this time of year. I am sure people do it, but unless you have a lot of experience I would think gators could be a real problem.
I’ve seen them at Hilton Head and Charleston on land near ponds, especially on golf courses, and they just minded their own business and were in some cases just relaxing enjoying the sunshine. They weren’t the least bit threatening. Of course, I was staying at least 50 or so feet away from them.Saluda river is around 60 degrees year round so no gators there. Even in the low country where they live they're unlikely to ever bother you. Drunks on jet skis are a bigger danger down there.