Caves have been used to ripen cheeses due to the climate being the perfect environment to allow microbes to thrive. For our use-case, I'll be covering ideal temperature and humidity settings. There is more to your cave then these variables, but that is being saved for another article!
This article goes in a bit of detail on what you should be setting your "cave" at.
Dairy-cheesemaking is pretty standardised with, as an overview, how it is developed. Any type involves the acidifying and creating curds either via an acid or using rennet.
Vegan-cheesemaking is a lawless industry where I personally don't agree with the many types of vegan "cheese" that can be considered as cheese. This opinion is based on how they have been developed and the results they provide.
Most of these variations in methods are based on how dairy proteins are compared to vegan alternatives, but also a greater understanding of what makes cheese, cheese.
This article is basically an overview of a few techniques of vegan "artisan" cheese.