Chris,

From what I understand, interrupted sleep like you have is not worthwhile sleep. I have had times when I wake up during the night and struggle to get back to sleep. I have learned to get up and do something for a while. Get a glass of water, maybe watch 30 minutes of recorded TV or go online and read. I do this trying to minimize the environment so I am ready to fall asleep again, minimal lights, TV volume down real low, etc. I usually am ready to go back to bed within 30 minutes to an hour. I can then get back into a good sleep cycle.

You could also just get up and get your day started. Then, try to have an opportunity to take a short nap later in the day.

btw, A bunch of short naps is better than pushing to fatigue then trying to take a longer nap.