Here's how Mama D gracefully handled an awkward snatch of time that was too big for an activity, but too small for a nap:
This hack had a 50% success rate on its maiden voyage, enough to make me think it may work for half the world's children.
Between my son's (3YO) noon preschool end and my daughter's (2.5YO) 2PM doctor appointment, I didn't have enough time to properly nap them. As I drove around with two sleeping, post-lunch-in-car toddlers, I turned on the AM radio between the stations for some white noise. When we arrived at our destination, the soothing lullaby of road and A/C noise stopped, but the white noise of the AM radio remained. It was enough of a transitional noise to keep my daughter asleep for over an hour. (I chose to have quiet time in the doctor's parking lot rather than getting them in and out of bed at home.)