Yep, that's the way to go. Just a row of warp shaders, for every part one, all fed by the same, or perhaps a little extra with an extra different Vdisp setup.
Ah, and better not rotate your simple shape to begin with. Better to rotate the terrain to accomodate to the river, or find a better spot. Or rotate all having to do with the river and fall the same way. And the PF for your foam needs to be stretched by Z, not by X.