that's a good question. unfortunately, there are no transform coordinates for mesh warp. Ae is missing a decent mesh tool (meshing according to a path curve ,or a grid with transform values)
I think the way I would tackle this is stabilize the shot first in the precomp, apply the mesh warp, the re-introduce the motion in the master comp. I would also consider other meshing tools like puppet or liquify that offer more parameters for compositing flexibility
if you still have trouble with this, maybe you can upload the footage and specify exactly what the end result should be. some of us usually give a vfx breakdown. it's a good practice.
Roei, thank you for your answer.
As a plugin, AE user can use "freeform" and also Adobe must some update about this problem.