Best Big Sur campin (quiet, nice views, secluded)?

Taking a road trip to northern California in early june and was deciding on camping in Big Sur for two nights. Have never camped here and looking at all the websites and reviews has me a bit overwhelmed. Does any one have any good experiences with a quiet secluded, and beautiful site? We will not be on the weekend, so i think they should be less crowded, but we definitely want a camping experience. Was looking at Limekiln state park but the website says its currently closed to the public! also thinking of Bottchers Gap... thoughts??