Why don’t you use a weed killer? If you have a sprayer, you can quickly do the whole ring, fences, for a fairly inexpensive price. I would suggest some kind of electric sprayer, a hand pump one would be hard work.
Any of the generic Glycosophates do a pretty good job of weed killing, then break down in 24 hours so they won’t affect anything after that time. Weed may not LOOK dry and wilted, but it is pretty dead if you got it quite wet during the spraying. Don’t drive fast while spraying, soak the greenery well. You may want markers to aim towards, to insure complete coverage of the greenery, keeping your rows straight in the center. My sprayer is a hand applicator, not the wide spray pipes at the rear like farmers have.
Buying the concentrate, you can mix it as needed, much cheaper than ready-to-use Round-up brand name stuff. For generic, read the chemical label on the bottle, looking for Glycosophate with a high percentage to purchase. Read the instructions for mixing, ususally two ounces to the gallon, and you NEED to mix it accurately. I have a dedicated measuring cup for weed killer, used for nothing else, so I am accurate on proportions.
I put water in sprayer first, because then the water doesn’t get bubbly and overflow the tank. When I have enough water in using gallon marks on the tank, then add the Glycosophate, plus a generous squirt of liquid dish soap which helps the spray stick to plant better. Spray on a calm day, so you get no overspray or weed killer blown away. Wear long sleeves, long pants, gloves, a hat, safety glasses, so you DO NOT get it on you. Glycosophate is among the safest of weed killers, but protective clothing should be worn ALWAYS, as stated on the label warnings.
I recently got a bigger electric sprayer from TSC, 15 gallons for $79 that fits in my Gator. With a plug that goes into the Gator outlet, I can spray all day long now. I had to get the outlet plug separate, but it clips right onto the wiring plug on the sprayer, so it only took a second to change from clamps that come with sprayer to the plug. I didn’t want to mess with clamps on the battery, plug-in type was easier. You can do a LOT of spraying with a full tank! Or you mix less, if you have small jobs.
Spraying weed killer is a lot less work than the handling weight of hauling, mixing and dissolving salt. The weed killer is probably quite well mixed in the ride to the ring, ready to use.
Both salt and weed killer are going to leave roots in the ground, so the footing still has to be worked up a bit. Both will make a bit of soil change by their chemistry just being there. You should have less “greenery in stems” if you run a mower over the ring before spraying or salting. Mow as short as possible, to cut stems really short. Some dry weeds are TOUGH, might be a tripping hazard later if the long stems just fall down. If weeds are still green, mowing might prevent seeds from being viable to sprout again later.