I think Southwest Conservation Club on Bluffton road has an annual turkey shoot, but I am not a member there so I am not 100% sure. I swear I have seen signs for it before in the past years. Sorry, not much help, but that is the only one I know of.
My next door neighbor went to a turkey shoot last Sunday in Churubusco.
I have also heard of a turkey shoot at SWCC, but have no info on it.
The blackpowder rifle shooters at Ft Wayne Rifle and Revolver shoot for meat the first Sunday of every month. It wouldn't surprise me if they shot for a turkey last Sunday.
New Haven CC has two each year. They just had the fall one a couple of weeks back and then one in the spring. Hamilton Fish and Game I believe has them all winter on the first Sunday of every month. Not sure their schedule this year as I only shot there once or twice last winter.