That is a little warm for me. I ended up buying used reach-in coolers off craigslist from restaurants in the area that folded. I got one for the farm and one for my garage for a couple hundred bucks each. I modified them by removing the shelving and installing galvanized pipe for meat hooks. I then found low plastic tubs (the kind designed to go under a bed) to cover the floor of the cooler.
When I shoot a deer at the farm, I use a great day loader on my ATV to save my back an retrieve the deer whole. I have a cheap harbor freight electric hoist over one of the barn aprons. I lift the deer head up, place a plastic tub between the legs and field dress it. After running it through the DMAP process to collect harvest data and jawbones, I lift it with a gambrel and skin it. I use a cheap Harbor Freight sawsall dedicated for this to quarter it and wash down the quarters with a hose. I then turn on the barn cooler and hang the quarters in it. The plastic tubs on the floor that catch the drippings are easy to remove and clean.
When I'm ready to head home after a few days of hunting, I just place the quarters in a large plastic tub with a lid and put it in my car. If it real hot, I'll add an ice pack. I call my wife and have her turn on the garage cooler before I leave. When I get home, I transfer the deer to the garage cooler until I'm ready to butcher it.
I like to age deer between about 33 degrees and 36 degrees. This keeps them above freezing where enzymes can break down the meat but cool enough to deter bacterial growth. Forty-two (42) degrees is probably fine for helping reduce body heat a bit quicker and you can probably keep it over night without much issue. That is a bit on the warm side for keeping bacterial growth at bay for much time.
Because these reach-in type coolers are small by comparison to a walk-in cooler, they cool down pretty quickly. I only run them when I've got deer to age. Typically, if I turn it on when I get back to the barn with a deer, it will be in the right temperature range by the time I'm done skinning and quartering the deer. I considered a walk-in type cooler for the retirement home, but they are pretty inefficient by comparison for this kind of short-term use.
Thanks,
Jack