Wedges are only effective is used correctly. Just dropping some by a wheel and nudging them with your toe does nothing to help. To properly set a wedge you place it in front of a tire, pull forward ONTO the wedge, then set the secont wedge behind the tire. Now let the trailer find it's own center. When used that way they are FAIRLY effective but chances are most of your problems are not associated with chocking the wheels.
Trailers generally have light weight frames and these frames flex, especially with longer trailers. When you put stab jacks down at the corners it actually makes the problem worse as when the corners are lifted the center, around the axles sags even more. When you walk around inside the frame flexes and bounces on the trailers own suspension. Adding a third set of stab jacks, mounted to the FRAME (not the suspension) can remove most of the wiggle caused by suspension bounce. Also you might experiment with putting different amounts of lift on the corner stab jacks until you find the "sweet spot" for your trailer.
Good luck / Skip