Soggy shade is a very challenging and limiting situation for plants. A few possible choices include ferns, Louisiana iris, and beautyberry.
In order to provide you with more information than we can fit in this brief answer, let me refer you to the following web site, which should be very informative and useful to you.
I would also suggest you contact your County Extension Office. They should have some information on hand regarding adapted plants for your part of the state.
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