I am not sure about your trailer but even with the wheel chocks I found mine to shake from side to side when waking into the trailer. The wheel chock helped the front to back but did nothing for the side to side.
With 35 dollars in hardware and about an hour of time I think I have fixed the issue. The trailer is much more stable and the bonus is they mod can stay attached.
The hardware consisted of 2 five (5) foot pieces of 3/8 threaded rod and two turnbuckles. The turnbuckles attached to the base of the stabilizer jack (new holes) and the opposite end of the threaded rod pushed thru a hole drilled into the mounting plate the stabilizer is mounted to. As long as the nuts are loosened on the top the threaded rod will slide thru the hole as the jack raises or lowers. Once the jack is lowered the nut on the upper end can be snugged to the bracket, twist the turnbuckle to adjust the tension and stability is achieved. The tension on the turnbuckle doesn't have to be that much and as long as there is enough load on the jacks they will not slide from the tension of the turnbuckle. By attaching one of the turnbuckles to the front of the jack base plate and the other to the rear it eliminated the threaded rod from touching in the middle. There should be enough adjustment in the threaded rod if I ever needed to extend the jacks down lower.
In the second picture you can see where I added a piece of rubber tubing over the threaded rod where it comes in contact with the frame when the jacks are raised. If I would have drilled the hole a little lower in top bracket the threaded rod might not have come in contact with the frame. Live and learn.
Can't wait to see how it works in a couple of weeks when we head out for the long weekend.