Shawne e National forest would probably be your best bet to get an out of state tag. It covers a bunch of counties so I'd pick one that looks good and start with your research that way. Google maps is a great way to start off to pick a general area then do your scouting that way. It does get pretty crowded there during gun season so you have to be either lucky or camp at the area you want to hunt a few days before the season starts. There are some big bucks in there though. I hunted there a couple years back and scored on a 7 pt but I know that a few real nice 10's and 12's were taken by looking at a few buck poles.

I live in Northern Illinois so I did most of my scouting the day before the season and via google maps. It's tough but it is possible. Good Luck!