You will be HARD PRESSED to find a landowner in the part of the state where you want to experience your hunt that will let anybody, much less an out of state'r, hunt for free. There are some people in areas off the flyway that let that happen, but only to people they trust. Public land is crowded and there are few well kept secrets anymore, matter of fact, I was able to SELL mine (GPS Coords) when I left a certain area that I don't go to anymore.
The reason is that most ducks end up on a farm somewhere. Most farmers either don't farm in the winter or farm and guide or lease. There is a lot of money involved in that. A lot of money. I know a lot of people in AR who can't afford a lease, myself included.
With that said, there are A LOT and I mean a lot of guide services. If you are only coming down for a few days to a week then that is your way to go.
Then it becomes a question of what you want to do, field or timber?