Quoting USMCWife12907:" My oldest will be 6 in October and she hasn't taken a nap since before she turned 2, my almost 3 year ... [snip!] ... naps around the same time. Now my 15 month old usually only takes 1 nap a day and it's not a very good one. They hate me lol"
I would definitely do the quiet time boxes then! It will give that peace and quiet you need, and the rest time they need. I plan on doing that when my 3yr old quits his naps. Right now the boys are doing awesome with naps though, they take a 2-3 hr nap in the afternoon. It is glorious!