Ah, the marionettes...sounds like a real possibility Peach. The yogi was the speedbump last time around and that was time consuming but not overly taxing. Marionettes could also fit along those lines.
My guess is the pitstop will be the Humayun's Tomb. It's a huge complex, in the general vicinity of all the other activities, and far fewer tourists than the Qutb Minar. You could easily have a pitstop there (and if you were mean, it could take 30 minutes to find Phil).