Interesting method. I've got a two year old, so lack of sleep, even for one night, is simply not an option. I wouldn't make it through the next day :)
That being said, if you've got a two year old I'd think that your sleep schedule will mostly be customized with some daily exercise, avoiding bright screens at night, and supplementing with some melatonin. If you do, I'd advise to try lower doses of melatonin, as lots of times lower doses work better.