Wearing yourself out is a good idea.
When I was having trouble sleeping, I started a bedtime routine. I'd shut off the laptop, shower, drink tea, light incense, put myself in bed... something like that. The point is, I set up a relaxing routine, and trained my body to recognize that I was about to put it to sleep and it should gear down for that.
I know nothing about Ayurveda, but I once read in a book about it that our bodies ramp up at 10pm to start cellular repair, etc. and that people who have trouble sleeping should be sure their asleep so this surge in activity doesn't keep them awake. I don't know if it's true, but I have noticed that if I'm up past 10:30 pm, then I'm up until at least 2am.