I know the feeling of that guilt. The more difficult part for me was on the very rare occasion I did call in sick, I was worried they would not believe me.
I think for the most part we overplay the potential problem in our mind though. I know that many of the people I worked with at the same time I would feel guilty calling in sick would not think twice about calling in sick just because they wanted to skip work.
So if you're sick, your sick, you need that time to recoup. Just try and work with a doctor to make sure there is not some other underlying cause to the recurrent illnesses.