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Gut your garage refrigerator and install some poles and or hangers. Buy a cheap battery operated fan and digital thermometer. This will store an elk no problem, just set the fridge to the highest setting (lowest temp) well before putting the meat in then adjust as needed (about 36 degrees). Some guys add a humidifier and humidity sensor also. Hangers for quarters, wire racks for boned meat, cool temps and circulating air, a little tight but it works.
Sounds like you guys aren't necessarily aging your venison as much as you are cooling it. I hang venison to ripen and age for as much as ten days at ambient temperature. No refrigeration or cooling required. The result breaks down the fats and tougher connecting tissues and makes for a stronger flavor, less game like more beef like.
I’ve shot a lot of elk and deer, and I never age either of them. As soon as they are hung, or the next day, I start cutting. I trim well and use that for dog food, and I make my steak, roast, grind piles. I then grind what gets ground in 1 and 5 pound bags for ground or sausage respectively, and vacuum seal all steaks and roasts and into the freezer. I’ve had people who swore they’d never eat game again try mine and beg for more.