i know what you mean.
Here in New Orleans, we get a lot of water as it is
(top 10 rainfall cities - or top 5? i forgot)
in the last 2 years, it has increased. Winter, spring, summer, fall...
just increased heavy rainfall, sometimes every day for a week.
Unfortunately, my house was built on a swamp that was filled in with river sand 35 years ago.
but, it still gets standing water.
i have a pond where the liner broke, so it always reflects the water table.
most of the time, i see water 8-10 inches below the soil level
heavy rainfalls, or times when it rains a lot,
it can stay almost soil level for days at a time.
my satsuma orange does well.
Jujube is doing great!
my mulberry does well surprisingly (its a local volunteer)
my guava does well.
i grow papaya and everything else on mounds or containers...
I have a baby jackfruit that hasnt died yet, but isnt growing fast either
i think due to water stress.
Passionfruit (Maypop) is on a 2 inch mound and going OK
Avocado did OK for years until last years freeze.
I have a Jaboticaba i hear can take weeks of wet feet.
i may put that in the ground soon.
these 2 should be tolerant of standing water...
American persimmon (Diospyros virginiana, zones 4 to 9)
Paw paw (Asimina triloba, zones 5 to 9)
some info here may help.
http://aob.oxfordjournals.org/content/81/4/475.full.pdfone part says it (temp flooding) helps lower PH of soils
in Southern Fla which can be beneficial
you can always plant water chestnut and lotus