I have seen pics of people using Tupperware with water in it and a elevated base for the cheese to stay on. This way it would be as high a humidity as you want.
But I say try the fridge with temp control first and see if you need to do anything.
Primary #1:Apple Cider(x2)
Secondary #1:Honey Stout (10 Gal)
Drinking, Ed's Original Apfelwein, Cheesefood's Ale, Krolsh, Ed's House Ale, Nut Brown
Kegged, B's Honey Wheat