[SOLVED] Are there any all mesh computer cases?

Perhaps, but why would you want one?

Cooling is more effective with a simple front to back airflow that is easiest done with a mesh front case.

All mesh would admit more dust to your system, compared to the cleansing action of a filtered front intake.
Oh okay, do you think it'd be better if It had maybe space for a 200mm fan on the side panel instead and that'd be the only mesh.