You might want to look at your base choice in the next AE if possible... you should be able to sit at home on long call in most places in the country (or at least roll the dice... I personally would have only had to burn one sick call on a long callout over the past year and 3 months if I were still commuting from DTW).

Regardless... something isn't right with your situation and is about the worst I've seen- you might also consider that you're playing things a bit too conservative?