This topic has been on a few forums and I have looked at quite a few different alternatives, so far my vote goes with Sasquatch's suggestion.
I however don't think that the contests can be totally to blame for Poaching and illegal activities. Contests don't make bad people, bad people make bad people. Contest or not jerks will be jerks. They'll be doing it regardless of the contest.
Maybe the deer are to blame to. If they would stop growing those beautiful racks then we wouldn't want them so badly

Sure would save me driving 3000 miles round trip to hunt the elusive monster whitetail

Even with that much driving, time, money invested I could never bring myself to poach an animal I have too much respect for them and myself.
That last part really seems touchy feely but I don't know of a better way to type it out so you'll have to put up with it
Plus the story never seems right when you have to tell your friends that you reached down for your 10,000,000 candle power light which is plugged into the cigarette lighter of the truck while knocking over your beer and finally burning the retinas out of the deer. Grabbing your already loaded rifle off the dashboard rolling down the window and having to shoot it in the ass as it turns away to run because you accidently hit the horn with your elbow while trying to get a rest with your rifle
Maybe I'm missing something but it doesn't sound sporting
Brambles