Indiana has some fairly good public hunting locations. I have never hunted any personally but have a bunch of friends and family who have and still do.
I called my buddy who hunts Morgan Monroe and he has taken a bird each spring for the last 3 years. He said that the last few years it has not been very crowded if you can hunt during the week. He said he typically hunts off a road that runs through the forest called Bryant Creeks rd. The area is on the western side of the forest, not terribly far off state rd. 37. He said you can gauge how busy by the trucks on the side of the road and that typically the forest sees a good amount of hunters who just go 100-200 yards off the main roads. He said if you are willing to travel back about a mile you are typically alone. He also suggested that you try going to the main office for the park and see if any of the forest workers are milling around. Not the ladies in the office but the guys who maintain the forest in the trucks. He said they are more than willing to tell you where they are seeing birds in the park.
My dad hunts the Hoosier National Forest as we grew up around the Bloomington/Bedford areas. There are plenty of birds around the Lake Monroe area but you have to be careful because private land is really intermixed and you can get off track quickly. This is also a deer haven in the fall.
Farther south in the HNF, there is suppose to be some good areas around the eastern portion of the forest. My dad said to look around the Celina lake area
http://www.fs.usda.gov/recarea/hoosier/recreation/recarea/?recid=41486If you get back into the woods away from the recreational areas there is suppose to be a good amount of birds. I guess there are a few smaller lakes in this area and it is joined by trails. He got that advice off of another hunting board and said it proved to be good advice.
Indiana recognizes a large number of other states carry permits so you will most likely be able to carry your personal protection firearm with you. Not that our lands aren't safe but I personally never like walking back to my truck on a side road without mine..... too many zombie turkeys out there.