I'm getting to where I just don't go hunting when it's very warm, especially if I'm working the next day. If I'm off work the next day and I do get a deer the evening before, I definitely process it or get it processed the next morning or give it to someone else if I don't have time to take care of it myself. The latter usually works out real well because when I end up giving it away, I generally get a couple of the best cuts in return for giving them the deer!
Oh, and if the wife won't let you use the coolers you have now, then by all means, man, go buy a couple of coolers of your own!