another mulching question

I did locate the No- Work book but have not recieved it yet. My question is about soggy soil. Will this method help with the problem or no. I can make raised beds but over time the mulch will fill in and be the same height. The garden is not always soggy but with heavy rainm it tends to muck right up. My beans are all droopy as if drowning and my peppers have not even started to grow. I am concerned that if I mulch the garden totally it will keep in all that rain.
Steff