I don't think a toddler has the capacity to sit for up to an hour and have quiet time. We implement quiet time (reading, puzzles) for our DD prior to bedtime and it is a maximum of 30 mins & we are in the same room as her. Any other activities my DD dows during the day, she will still come and seek me out now & then (even if it is a DVD). I assume you need to rest/sleep when your DD is sleeping, hence the reason for the quiet time? Can you rest/sleep in the same room or on the couch so you are near your DS but he can do quiet activities?