My Salamander is about 20" wide, 19" tall, and 21" deep. The front door is closed, the back is entirely open (except for the fan hanging down, blowing air in). There's also a 3"x5" grated opening in the bottom for air flow.
My 9B-SST2 has been on for hours, playing all 5 channels but at very low volume (maybe 60 db). It's very warm (bordering on hot) to the touch.
I call all but promise you the amps (and almost any other electronics) will overheat and fail in your current setup. In fact, i can't imagine any amount of ventilation that would correct that problem under those circumstances (perhaps forced air conditioning into each drawer?).
Best option is to scrap the drawer concept, put shelves in, and perhaps some type of front drawers that are ventilated. Even then, you'd still need some kind of limited forced air flow.
For what it's worth, it looks beautiful!