Even though I'm a rice farmer, I am reluctant to give advice on an area I know nothing about. But in the spirit of the president of the united states, what the hay. In my opinion, rice would be a poor choice up there. There a lot of shorter growing season aquatics that likely would work. Strangely the best way to establish aquatics is to dry out the site. Whenever the driest time of year is, that's when you need to dry out your plot. By dry I mean ground cracking dry. If the rainfall in your area comes regularly, this may not be possible. But if it is use that to your advantage.
Get on the dry cracked open ground and till it up to get a seed bed. It doesn't have to be perfect. Aquatic weeds planted into dry ground and flushed up will emerge and grow well. They only need enough water to keep the soil moist, if you have an irrigated plot, that's a huge advantage. To be able to flush the plot periodically will grow the heck out of the weeds. Then if you can flood the plot without relying on rainfall for hunting season,God bless the child that's got his own.
The kind of aquatics that will grow in your area I'm not to sure of, bullrush, and other sedges, smartweed, marsh timothy, millet, are some I would suggest. Plant more than one type. The experience may even be fun.