only edible plants i know of are taro root, ong choy, water chestnut, lotus and watercrest.

Use containers or put in a raised bed

Saggitaria, Alligator Grass and Cattail is delicious. Make a pond out of the area and the possibilities increase dramatically!

Yeah, maybe consider (or extend) container planting to give more options away from the wet source.

As far as wet garden beds go, my Houston-area bed has gotten soaked several times lately from storms, with standing water for a day or so. It didn't seem to bother the broccoli, kale, kohlrabi, carrots, or peas. With the exception of kale, I think the rest of those are colder weather crops, which might not do well with warmer temperatures. It's all still new to me, so I'm learning the "temperature toleration" for each as I go. I'm also not sure how an extended soak would do. Maybe you can shield and/or divert the water somehow away from your garden. Time to get creative and inventive!

Dig a small drainage trench toward lower ground and "drain the swamp". You might-could accomplish this with a hoe if you don't have to go very deep. It's a one-time task that will free-up 75 feet of garden.

There's a lot of folks here who wish they had 75 feet of area to grow stuff and wouldn't mind one bit scraping out a small trench. Even putting some 4" perforated plastic pipe down to carry the water away is not very difficult.

If you must go deep, you may rent a small walk-behind Ditch Witch and finish that job lickidy split!

Hey like previously mentioned draining away is one way but seems a waste of water. I live in the Houston area as well and a raised bed is pretty much a requirement as most garden vegetables do require good drainage. Two things that come to my mind is 1 talk to your neighbor he may be able to make an adjustment the other would be to make a small sump area and collect their water to re-use for your garden or yard needs

Try putting up fencing that can block the water out, or a green house that does not let the water in.