I think you should just go talk to your neighbor. If he hunts, then you have someone to hunt with and more land to do it on. You will also build not only great hunting memories but a friendship as well. If he doesn't hunt, by NOT putting up a fence that could possibly piss him off he may just let you hunt his land as well.
Either way you will be in good standing with your neighbor and that's important because sooner or later you will stick a deer and it will run on to his property. I'm not up to speed with Arkansas law but here in Illinois you cannot trespass on anothers land, not even to retrieve a dead deer without permission.
Now if he's a tree hugging lefty..........your on your own!