How about their name...
If you are talking about terms used in actual conversations, unless I'm missing something, and I could be, why don't you use their name? I love strip clubs. I talk to and hire strippers all the time, and I've never used any term other than their name. The moment I meet someone, the first thing I ask is their name.
I'm trying to imagine a conversation with someone about hiring and using another term other than someones name. But that's just me...