Wetlands Planting Ideas?

[FREDERICKJR VODDE]

My backyard has very poor drainage due to a fair amount of clay and high
water table, not to mention a spring.
Over the years I have tried various remedies including, among other things,
drainage pipe to carry the water away.
Still the water persists with weeds and wild grass that can't be mowed due
to the soggy conditions.
I should also mention that the area is mostly shady with several trees.
So...I have given up trying to fight the water and I am resigned to live
with it, work with it instead of against it.
I would very much appreciate ideas/suggestions for how to make the area
somewhat attractive given these conditions.
Perhaps certain plants, wildflowers, bushes that are low maintenace, will
co-exist with the weeds & grass and, above all, thrive in the wet
environment. A weeping willow sucks up water but that brings its own
maintenance issues. I've also considered just dumping a few truckloads of
stone but would really prefer to have a natural environment with plantings.
So I would be very grateful for any and all suggestions to remedy this
situation.
Thanks for your ideas!
Fred