If I may offer a suggestion, be straightforward and up-front about what you'd like during your private show. Before even going private, perhaps ask the model if you can go private for a chat, and just a chat (or whatever else you want for that show). The model may still feel uncomfortable about not doing anything for you in private, but at least you made the effort to inform him and set him at ease beforehand.
Some of the models I have had private shows with in the past were surprised that I only wanted to chat, but they e-mailed later and said that it was a nice change of pace to just have chats where they do not need to perform on demand. In each case, for that first time at least, I asked if I could take them private just to chat (I always ask first, to let them know what I want, but also to let anyone else in the room know what to expect in case there's only a multi-user option or if they plan on voyeur-ing in).
And, of course, when I want other things, I ask first.
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