Hello Ernesto
what do you mean by 'k-eps and k-w don't work'? it crashes or it gives unphysiscal results?
options for vertical turbulences will depend strongly on your application and on what you want to focus on. Moreover, it will depend on your mesh quality, vertical mesh transformation, time step, advection schemes, etc...
I saw that you are using 10-6 for vertical diffusion velocities which is the order of molecular viscosity and thus, depending on application nature, could be very low. your time step looks big also.
In a nut shell, try to optimize all numerical options (time step, advection schemes, mesh quality, etc) and then you can focus on turbulence by going with an increasing complexity. you can start with constant velocity diffusion and tune the value in order to obtain physical behaviour.
A final remark, with RANS approaches we are aware that we can not reproduce satisfactorily any kind of turbulence structures. Moreover, the highly anisotropic nature of meshes (element size for horizontal mesh very large compared to those of vertical direction) makes the uses of RANS models questionnable.
with my best regards
Riadh ATA
PS: please upgrade to last version in order to benefit from last developments and bug fixes.