Originally Posted by HardWorkingDog
Coastal campgrounds are indeed busy in May, particularly on Friday and Saturday. Some in Big Sur are first come first served (Kirk Creek, I believe is one) but there are some alternatives. Head inland from Kirk Creek and you can do dispersed camping in the National Forest. There are a few private campgrounds that may be able to squeeze you in.
Kirk creek takes some res, but also has FCFS. Also Lime Kiln.