Tevya could pull off the Troi (is that how it’s spelled?) in the early episodes with miniskirt look, but I don’t know about the later Troi lusting after Ryker episodes.
Troi: I’m sensing somthing clingy here, Captain. People are aroused.
Piccard:* Yes, counselor. It seems that in Cincinnati it is no longer December 6th.*
Okay, there’s gotta be at least half a dozen other characters you could become. Or come as yourself. I think most of the people here already are characters.