It is possible to import a 3d gaussian splat into houdini and animate it there. https://m.youtube.com/watch?v=3u9SAmr61gA

For something as simple as this, you could probably just move the splats around with

  (x_hat*sin(y*t) + y_hat*sin(x*t))*exp((z_l-z_h)/2*z_h)

where (x_hat,y_hat) are your basis vectors in the plane, z_l is the local z coordinate (subtract the terrain modifier used to move tiles up/down) , and z_h is the height of a flower.

Or if you want to be more advanced, generate some curl noise and use it as a prefactor instead of x,y inside the sin(). And include the corresponding up-down motion as the stalks are constant length.