with that much water in the yard I would do two things:
1) raised beds are a no-brainer
2) before you plant in the bed, in two or three spots, dig down 2-3 ft with posthole diggers. Then fill these holes with course sand or lighter gravel. I get free crushed glass at our recycle center and use that. Then plant as usual.
The holes are called "dry wells." they will help remove some of the excess water from around the roots. Your water table is really high, but I still think a few dry wells would help next to newly planted figs. They can't hurt, and they only take a 1/2 hour to dig and a bit of sand/gravel.
I use them to control pooling water near my raspberry patch, and I am just doing a few more around one of my new figs that I've noticed pools of water standing after heavy rains.
These "dry wells" are an old water management technique used for various purposes. I am thinking about using them near my muscadines for the reverse purpose, to get water deeper. My muscadines are on the high side of the yard and the water runs off so fast they don't get soaked the way I wish when it rains. But if I sink a couple wells near the vines and fill with sand, they should encourage putting more water down where the muscadines can use it.