I personally do not see any reason why one would like to use char* or char[] except for compatibility with old code. std::string's no slower than using a c-string, except that it will handle re-allocation for you. You can set it's size when you create it, and thus avoid re-allocation if you want. It's indexing operator ([]) provides constant time access (and is in every sense of the word the exact same thing as using a c-string indexer). Using the at method gives you bounds checked safety as well, something you don't get with c-strings, unless you write it. Your compiler will most often optimize out the indexer use in release mode. It is easy to mess around with c-strings; things such as delete vs delete[], exception safety, even how to reallocate a c-string.
And when you have to deal with advanced concepts like having COW strings, and non-COW for MT etc, you will need std::string.
If you are worried about copies, as long as you use references, and const references wherever you can, you will not have any overhead due to copies, and it's the same thing as you would be doing with the c-string.