Been there done that, already do. The question is: "Where are you taking me next, Doctor?" "Oh, I don't know, away from college & work. Away from people who don't know your Doctor Who references, to a place where people do? Does that sound fun?" "Of course, Doctor as long as I'm with you. Everything is fun and a little bit dangerous...but I'll get over that." (Seriously, these conversations we've all invented them).
Actually, I think there are enough whovians in the world that it would be open in 10 minutes, tops. (unless it was actually the TARDIS, in which case there would be an impromptu doctor who convention while everyone waited for him to come back)