I'm sure you already know this, but you should probably talk with your doc about troubles falling asleep. Think about a medication tweek. Also, can you take/try melatonin at night if you miss more than one night of sleep?

In a pinch, you could always use a good mouthwash on a night that you are "over the top" unable to brush your teeth prior to going to bed. However, you might make a promise with yourself never to do this more than once a week.