I use the same curing process for my garlic. The garage only has direct sunlight in the late afternoon and I keep it at the back of the garage near an air vent. (Split level house.)
Good to have a lot of garlic!
I think i have russian red and some german but not certain but they do create large cloves also. They are hardnecks that i bought in several locations many years ago. I generally plant the largest cloves but given my odd harvest last spring I took the most unappetizing ones:). In spite of the temporary mold, the peeling, and otherwise looking degraded the plants seem to be thriving.