Future use for compost, chickenfeed, fish feed. It's in a kiddie pool in a low area of my back yard. The rocks are an attempt to keep the water from freezing. The two lines across pool are reflections of power lines going to my house. I saw these ~100 plants (duckweed) spread out all over with the wind we are getting now (at 22:23 CDT we have 15 mph winds with gusts to 24!).
Same thing happened wit Duckweed in my little Koi spa/pond after several deluges of rain. I setup a screened outflow (overflow) to try to curtail the plants from exiting the pool. That worked until the screen was blocked by floating plants, meanwhile the rain kept on coming. In the Winter I cover the spa with sliding glass door glass.
I have other immersed plants growing in the Koi pond such as Hornwart Hornwart which is a free floating nonvasular (no root) plant that makes buckets full of biomass for compost. Also I've had good luck with Water Lettuce Pistia Both stay in the pond just fine no matter how much rain we get.
I don't know if I've got the same variety of Lemna, but by this time of year, most of mine has sunk down below the water. In the spring, it comes back up. If it keeps blowing out, you could try putting it in something mesh-like that you can weight down at the bottom for the winter?
My ponds are both far more sheltered from the sound of things, but we get some impressive winds (but ours speak metric, so you'd have to translate 60 km/hour with gusts up to 90 km/hr.) Our chickens have never shown much interest, but our ducks go crazy over it. I wasn't all that impressed with it as a mulch either - I'm thinking that the micro-bugs that digest it are more prevalent in the water than on land. Now that we've got ducks it's a non-issue - the ducks turn it into shit which my growies like just fine! That said, my particular desire in my ponds is to support the local tree frogs. The lemna seems to support the tadpoles, so I don't harvest more for than I think the system can tolerate.