Find a processor that will let them hang and age for a few days, and it will all taste good. The only thing I worry about otherwise is gutting them quickly if it's hot out.
I'll tell you a story. My buddy shot one late on opening day this year. The arrow did some funky crap and ended up splitting her guts open. It was hot as balls and late. Got it out to my house 3 hours after he killed it and gutted her. It was a holy mess. Hosed her out and had to cut a little extra from the sides. Hung her in a an old fridge that I thought still worked. Well it did not. I opened that thing up at 10 am and it felt like a warm breeze hitting me in the face. No stank though. Took her to the processor and the hung her 5 days and cut her up. The meat was outstanding. I was shocked. I dont know how. Especially after 12 hours in a hot fridge.